TSTP Solution File: SET731+4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET731+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 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 : n014.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 03:48:45 EDT 2024
% Result : Theorem 0.62s 0.83s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% Number of atoms : 168 ( 10 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 201 ( 70 ~; 52 |; 57 &)
% ( 9 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 129 ( 99 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f91,plain,
$false,
inference(subsumption_resolution,[],[f90,f70]) ).
fof(f70,plain,
member(sK6(sK1,sK2,sK4),sK4),
inference(unit_resulting_resolution,[],[f60,f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( member(sK6(X0,X1,X2),X2)
| surjective(X0,X1,X2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
| ( ! [X4] :
( ~ apply(X0,X4,sK6(X0,X1,X2))
| ~ member(X4,X1) )
& member(sK6(X0,X1,X2),X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f43,f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ? [X3] :
( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
& member(X3,X2) )
=> ( ! [X4] :
( ~ apply(X0,X4,sK6(X0,X1,X2))
| ~ member(X4,X1) )
& member(sK6(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
| ? [X3] :
( ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X1) )
& member(X3,X2) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ! [X3] :
( member(X3,X2)
=> ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) ) )
=> surjective(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( surjective(X0,X1,X2)
<=> ! [X3] :
( member(X3,X2)
=> ? [X4] :
( apply(X0,X4,X3)
& member(X4,X1) ) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X5,X0,X1] :
( surjective(X5,X0,X1)
<=> ! [X4] :
( member(X4,X1)
=> ? [X3] :
( apply(X5,X3,X4)
& member(X3,X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.n7FaUxBF7s/Vampire---4.8_6349',surjective) ).
fof(f60,plain,
~ surjective(sK1,sK2,sK4),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ~ surjective(sK1,sK2,sK4)
& ! [X5,X6] :
( ( ( apply(sK1,X5,X6)
| ~ apply(sK0,X5,X6) )
& ( apply(sK0,X5,X6)
| ~ apply(sK1,X5,X6) ) )
| ~ member(X6,sK4)
| ~ member(X5,sK2) )
& sK4 = image2(sK0,sK2)
& subset(sK4,sK3)
& maps(sK0,sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f44,f45]) ).
fof(f45,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ surjective(X1,X2,X4)
& ! [X5,X6] :
( ( ( apply(X1,X5,X6)
| ~ apply(X0,X5,X6) )
& ( apply(X0,X5,X6)
| ~ apply(X1,X5,X6) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) )
& image2(X0,X2) = X4
& subset(X4,X3)
& maps(X0,X2,X3) )
=> ( ~ surjective(sK1,sK2,sK4)
& ! [X6,X5] :
( ( ( apply(sK1,X5,X6)
| ~ apply(sK0,X5,X6) )
& ( apply(sK0,X5,X6)
| ~ apply(sK1,X5,X6) ) )
| ~ member(X6,sK4)
| ~ member(X5,sK2) )
& sK4 = image2(sK0,sK2)
& subset(sK4,sK3)
& maps(sK0,sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
? [X0,X1,X2,X3,X4] :
( ~ surjective(X1,X2,X4)
& ! [X5,X6] :
( ( ( apply(X1,X5,X6)
| ~ apply(X0,X5,X6) )
& ( apply(X0,X5,X6)
| ~ apply(X1,X5,X6) ) )
| ~ member(X6,X4)
| ~ member(X5,X2) )
& image2(X0,X2) = X4
& subset(X4,X3)
& maps(X0,X2,X3) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
? [X0,X1,X2,X3,X4] :
( ~ surjective(X1,X2,X4)
& ! [X5,X6] :
( ( apply(X1,X5,X6)
<=> apply(X0,X5,X6) )
| ~ member(X6,X4)
| ~ member(X5,X2) )
& image2(X0,X2) = X4
& subset(X4,X3)
& maps(X0,X2,X3) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X0,X1,X2,X3,X4] :
( ~ surjective(X1,X2,X4)
& ! [X5,X6] :
( ( apply(X1,X5,X6)
<=> apply(X0,X5,X6) )
| ~ member(X6,X4)
| ~ member(X5,X2) )
& image2(X0,X2) = X4
& subset(X4,X3)
& maps(X0,X2,X3) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( ! [X5,X6] :
( ( member(X6,X4)
& member(X5,X2) )
=> ( apply(X1,X5,X6)
<=> apply(X0,X5,X6) ) )
& image2(X0,X2) = X4
& subset(X4,X3)
& maps(X0,X2,X3) )
=> surjective(X1,X2,X4) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X5,X9,X0,X1,X10] :
( ( ! [X2,X4] :
( ( member(X4,X10)
& member(X2,X0) )
=> ( apply(X9,X2,X4)
<=> apply(X5,X2,X4) ) )
& image2(X5,X0) = X10
& subset(X10,X1)
& maps(X5,X0,X1) )
=> surjective(X9,X0,X10) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X5,X9,X0,X1,X10] :
( ( ! [X2,X4] :
( ( member(X4,X10)
& member(X2,X0) )
=> ( apply(X9,X2,X4)
<=> apply(X5,X2,X4) ) )
& image2(X5,X0) = X10
& subset(X10,X1)
& maps(X5,X0,X1) )
=> surjective(X9,X0,X10) ),
file('/export/starexec/sandbox2/tmp/tmp.n7FaUxBF7s/Vampire---4.8_6349',thII22) ).
fof(f90,plain,
~ member(sK6(sK1,sK2,sK4),sK4),
inference(forward_demodulation,[],[f89,f57]) ).
fof(f57,plain,
sK4 = image2(sK0,sK2),
inference(cnf_transformation,[],[f46]) ).
fof(f89,plain,
~ member(sK6(sK1,sK2,sK4),image2(sK0,sK2)),
inference(duplicate_literal_removal,[],[f87]) ).
fof(f87,plain,
( ~ member(sK6(sK1,sK2,sK4),image2(sK0,sK2))
| ~ member(sK6(sK1,sK2,sK4),image2(sK0,sK2)) ),
inference(resolution,[],[f78,f67]) ).
fof(f67,plain,
! [X2,X0,X1] :
( member(sK7(X0,X1,X2),X1)
| ~ member(X2,image2(X0,X1)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ apply(X0,X3,X2)
| ~ member(X3,X1) ) )
& ( ( apply(X0,sK7(X0,X1,X2),X2)
& member(sK7(X0,X1,X2),X1) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f52,f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ? [X4] :
( apply(X0,X4,X2)
& member(X4,X1) )
=> ( apply(X0,sK7(X0,X1,X2),X2)
& member(sK7(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ apply(X0,X3,X2)
| ~ member(X3,X1) ) )
& ( ? [X4] :
( apply(X0,X4,X2)
& member(X4,X1) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ( member(X2,image2(X0,X1))
| ! [X3] :
( ~ apply(X0,X3,X2)
| ~ member(X3,X1) ) )
& ( ? [X3] :
( apply(X0,X3,X2)
& member(X3,X1) )
| ~ member(X2,image2(X0,X1)) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( member(X2,image2(X0,X1))
<=> ? [X3] :
( apply(X0,X3,X2)
& member(X3,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X5,X0,X4] :
( member(X4,image2(X5,X0))
<=> ? [X2] :
( apply(X5,X2,X4)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.n7FaUxBF7s/Vampire---4.8_6349',image2) ).
fof(f78,plain,
! [X0] :
( ~ member(sK7(sK0,X0,sK6(sK1,sK2,sK4)),sK2)
| ~ member(sK6(sK1,sK2,sK4),image2(sK0,X0)) ),
inference(resolution,[],[f76,f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( apply(X0,sK7(X0,X1,X2),X2)
| ~ member(X2,image2(X0,X1)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f76,plain,
! [X0] :
( ~ apply(sK0,X0,sK6(sK1,sK2,sK4))
| ~ member(X0,sK2) ),
inference(subsumption_resolution,[],[f75,f70]) ).
fof(f75,plain,
! [X0] :
( ~ member(X0,sK2)
| ~ apply(sK0,X0,sK6(sK1,sK2,sK4))
| ~ member(sK6(sK1,sK2,sK4),sK4) ),
inference(duplicate_literal_removal,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ~ member(X0,sK2)
| ~ apply(sK0,X0,sK6(sK1,sK2,sK4))
| ~ member(sK6(sK1,sK2,sK4),sK4)
| ~ member(X0,sK2) ),
inference(resolution,[],[f72,f59]) ).
fof(f59,plain,
! [X6,X5] :
( apply(sK1,X5,X6)
| ~ apply(sK0,X5,X6)
| ~ member(X6,sK4)
| ~ member(X5,sK2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f72,plain,
! [X0] :
( ~ apply(sK1,X0,sK6(sK1,sK2,sK4))
| ~ member(X0,sK2) ),
inference(resolution,[],[f66,f60]) ).
fof(f66,plain,
! [X2,X0,X1,X4] :
( surjective(X0,X1,X2)
| ~ apply(X0,X4,sK6(X0,X1,X2))
| ~ member(X4,X1) ),
inference(cnf_transformation,[],[f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET731+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.11/0.13 % 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
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 17:10:48 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.34 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.n7FaUxBF7s/Vampire---4.8_6349
% 0.62/0.82 % (6459)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.82 % (6460)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)
% 0.62/0.82 % (6463)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)
% 0.62/0.82 % (6461)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)
% 0.62/0.82 % (6464)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)
% 0.62/0.82 % (6458)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)
% 0.62/0.82 % (6457)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)
% 0.62/0.82 % (6462)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)
% 0.62/0.82 % (6464)Refutation not found, incomplete strategy% (6464)------------------------------
% 0.62/0.82 % (6464)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82 % (6464)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82
% 0.62/0.82 % (6464)Memory used [KB]: 1065
% 0.62/0.82 % (6464)Time elapsed: 0.003 s
% 0.62/0.82 % (6464)Instructions burned: 4 (million)
% 0.62/0.82 % (6464)------------------------------
% 0.62/0.82 % (6464)------------------------------
% 0.62/0.82 % (6460)First to succeed.
% 0.62/0.83 % (6460)Refutation found. Thanks to Tanya!
% 0.62/0.83 % SZS status Theorem for Vampire---4
% 0.62/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.83 % (6460)------------------------------
% 0.62/0.83 % (6460)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83 % (6460)Termination reason: Refutation
% 0.62/0.83
% 0.62/0.83 % (6460)Memory used [KB]: 1075
% 0.62/0.83 % (6460)Time elapsed: 0.005 s
% 0.62/0.83 % (6460)Instructions burned: 6 (million)
% 0.62/0.83 % (6460)------------------------------
% 0.62/0.83 % (6460)------------------------------
% 0.62/0.83 % (6456)Success in time 0.477 s
% 0.62/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------