TSTP Solution File: SET117+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET117+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n007.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 09:04:08 EDT 2024
% Result : Theorem 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 12 unt; 0 def)
% Number of atoms : 24 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 0 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 14 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f269,plain,
$false,
inference(resolution,[],[f268,f223]) ).
fof(f223,plain,
~ member(sK6,universal_class),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( ~ member(sK6,universal_class)
& sK6 = ordered_pair(first(sK6),second(sK6)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f84,f133]) ).
fof(f133,plain,
( ? [X0] :
( ~ member(X0,universal_class)
& ordered_pair(first(X0),second(X0)) = X0 )
=> ( ~ member(sK6,universal_class)
& sK6 = ordered_pair(first(sK6),second(sK6)) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
? [X0] :
( ~ member(X0,universal_class)
& ordered_pair(first(X0),second(X0)) = X0 ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0] :
( ordered_pair(first(X0),second(X0)) = X0
=> member(X0,universal_class) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0] :
( ordered_pair(first(X0),second(X0)) = X0
=> member(X0,universal_class) ),
file('/export/starexec/sandbox/tmp/tmp.PoaRMMvNeJ/Vampire---4.8_15764',corollary_1_to_ordered_pairs_are_sets) ).
fof(f268,plain,
member(sK6,universal_class),
inference(superposition,[],[f146,f261]) ).
fof(f261,plain,
sK6 = unordered_pair(unordered_pair(first(sK6),first(sK6)),unordered_pair(first(sK6),unordered_pair(second(sK6),second(sK6)))),
inference(definition_unfolding,[],[f222,f224]) ).
fof(f224,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f148,f147,f147]) ).
fof(f147,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.PoaRMMvNeJ/Vampire---4.8_15764',singleton_set_defn) ).
fof(f148,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))),
file('/export/starexec/sandbox/tmp/tmp.PoaRMMvNeJ/Vampire---4.8_15764',ordered_pair_defn) ).
fof(f222,plain,
sK6 = ordered_pair(first(sK6),second(sK6)),
inference(cnf_transformation,[],[f134]) ).
fof(f146,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/tmp/tmp.PoaRMMvNeJ/Vampire---4.8_15764',unordered_pair) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET117+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n007.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 16:33:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.PoaRMMvNeJ/Vampire---4.8_15764
% 0.60/0.75 % (16155)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)
% 0.60/0.76 % (16155)Refutation not found, incomplete strategy% (16155)------------------------------
% 0.60/0.76 % (16155)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (16155)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76 % (16148)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)
% 0.60/0.76
% 0.60/0.76 % (16155)Memory used [KB]: 1035
% 0.60/0.76 % (16155)Time elapsed: 0.002 s
% 0.60/0.76 % (16155)Instructions burned: 2 (million)
% 0.60/0.76 % (16150)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76 % (16151)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)
% 0.60/0.76 % (16152)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)
% 0.60/0.76 % (16153)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)
% 0.60/0.76 % (16154)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)
% 0.60/0.76 % (16155)------------------------------
% 0.60/0.76 % (16155)------------------------------
% 0.60/0.76 % (16149)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)
% 0.60/0.76 % (16153)Refutation not found, incomplete strategy% (16153)------------------------------
% 0.60/0.76 % (16153)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (16150)Refutation not found, incomplete strategy% (16150)------------------------------
% 0.60/0.76 % (16150)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (16153)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (16153)Memory used [KB]: 1042
% 0.60/0.76 % (16153)Time elapsed: 0.003 s
% 0.60/0.76 % (16153)Instructions burned: 2 (million)
% 0.60/0.76 % (16150)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (16150)Memory used [KB]: 1052
% 0.60/0.76 % (16150)Time elapsed: 0.003 s
% 0.60/0.76 % (16150)Instructions burned: 3 (million)
% 0.60/0.76 % (16153)------------------------------
% 0.60/0.76 % (16153)------------------------------
% 0.60/0.76 % (16150)------------------------------
% 0.60/0.76 % (16150)------------------------------
% 0.60/0.76 % (16158)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)
% 0.60/0.76 % (16149)First to succeed.
% 0.60/0.76 % (16149)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16000"
% 0.60/0.76 % (16149)Refutation found. Thanks to Tanya!
% 0.60/0.76 % SZS status Theorem for Vampire---4
% 0.60/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76 % (16149)------------------------------
% 0.60/0.76 % (16149)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (16149)Termination reason: Refutation
% 0.60/0.76
% 0.60/0.76 % (16149)Memory used [KB]: 1116
% 0.60/0.76 % (16149)Time elapsed: 0.006 s
% 0.60/0.76 % (16149)Instructions burned: 8 (million)
% 0.60/0.76 % (16000)Success in time 0.405 s
% 0.60/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------