TSTP Solution File: GEO237+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO237+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : n018.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 05:10:43 EDT 2024
% Result : Theorem 0.54s 0.76s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 4 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 85 ( 28 ~; 20 |; 28 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 47 ( 35 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f129,plain,
$false,
inference(subsumption_resolution,[],[f128,f107]) ).
fof(f107,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X2,X3] :
~ ( left_apart_point(X2,reverse_line(X3))
| left_apart_point(X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.dWXvV3fgJv/Vampire---4.8_5825',ax10_basics) ).
fof(f128,plain,
left_apart_point(sK1,sK3),
inference(subsumption_resolution,[],[f125,f107]) ).
fof(f125,plain,
( left_apart_point(sK0,sK3)
| left_apart_point(sK1,sK3) ),
inference(resolution,[],[f86,f93]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ divides_points(X2,X0,X1)
| left_apart_point(X0,X2)
| left_apart_point(X1,X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( divides_points(X2,X0,X1)
| ( ( ~ left_apart_point(X1,X2)
| ~ right_apart_point(X0,X2) )
& ( ~ right_apart_point(X1,X2)
| ~ left_apart_point(X0,X2) ) ) )
& ( ( left_apart_point(X1,X2)
& right_apart_point(X0,X2) )
| ( right_apart_point(X1,X2)
& left_apart_point(X0,X2) )
| ~ divides_points(X2,X0,X1) ) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ( divides_points(X2,X0,X1)
| ( ( ~ left_apart_point(X1,X2)
| ~ right_apart_point(X0,X2) )
& ( ~ right_apart_point(X1,X2)
| ~ left_apart_point(X0,X2) ) ) )
& ( ( left_apart_point(X1,X2)
& right_apart_point(X0,X2) )
| ( right_apart_point(X1,X2)
& left_apart_point(X0,X2) )
| ~ divides_points(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( divides_points(X2,X0,X1)
<=> ( ( left_apart_point(X1,X2)
& right_apart_point(X0,X2) )
| ( right_apart_point(X1,X2)
& left_apart_point(X0,X2) ) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X5,X3] :
( divides_points(X3,X2,X5)
<=> ( ( left_apart_point(X5,X3)
& right_apart_point(X2,X3) )
| ( right_apart_point(X5,X3)
& left_apart_point(X2,X3) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dWXvV3fgJv/Vampire---4.8_5825',a8_defns) ).
fof(f86,plain,
divides_points(sK3,sK0,sK1),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ~ divides_points(sK3,sK1,sK2)
& ~ divides_points(sK3,sK0,sK2)
& divides_points(sK3,sK0,sK1)
& apart_point_and_line(sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f58,f78]) ).
fof(f78,plain,
( ? [X0,X1,X2,X3] :
( ~ divides_points(X3,X1,X2)
& ~ divides_points(X3,X0,X2)
& divides_points(X3,X0,X1)
& apart_point_and_line(X2,X3) )
=> ( ~ divides_points(sK3,sK1,sK2)
& ~ divides_points(sK3,sK0,sK2)
& divides_points(sK3,sK0,sK1)
& apart_point_and_line(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
? [X0,X1,X2,X3] :
( ~ divides_points(X3,X1,X2)
& ~ divides_points(X3,X0,X2)
& divides_points(X3,X0,X1)
& apart_point_and_line(X2,X3) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
? [X0,X1,X2,X3] :
( ~ divides_points(X3,X1,X2)
& ~ divides_points(X3,X0,X2)
& divides_points(X3,X0,X1)
& apart_point_and_line(X2,X3) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0,X1,X2,X3] :
( apart_point_and_line(X2,X3)
=> ( divides_points(X3,X0,X1)
=> ( divides_points(X3,X1,X2)
| divides_points(X3,X0,X2) ) ) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X2,X5,X6,X3] :
( apart_point_and_line(X6,X3)
=> ( divides_points(X3,X2,X5)
=> ( divides_points(X3,X5,X6)
| divides_points(X3,X2,X6) ) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X2,X5,X6,X3] :
( apart_point_and_line(X6,X3)
=> ( divides_points(X3,X2,X5)
=> ( divides_points(X3,X5,X6)
| divides_points(X3,X2,X6) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dWXvV3fgJv/Vampire---4.8_5825',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO237+3 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.13/0.35 % Computer : n018.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 : Fri May 3 22:04:38 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.13/0.36 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.dWXvV3fgJv/Vampire---4.8_5825
% 0.54/0.76 % (5934)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)
% 0.54/0.76 % (5937)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)
% 0.54/0.76 % (5939)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)
% 0.54/0.76 % (5938)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)
% 0.54/0.76 % (5936)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.76 % (5935)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)
% 0.54/0.76 % (5940)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)
% 0.54/0.76 % (5934)Also succeeded, but the first one will report.
% 0.54/0.76 % (5939)First to succeed.
% 0.54/0.76 % (5938)Also succeeded, but the first one will report.
% 0.54/0.76 % (5939)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5933"
% 0.54/0.76 % (5935)Also succeeded, but the first one will report.
% 0.54/0.76 % (5940)Also succeeded, but the first one will report.
% 0.54/0.76 % (5936)Also succeeded, but the first one will report.
% 0.54/0.76 % (5939)Refutation found. Thanks to Tanya!
% 0.54/0.76 % SZS status Theorem for Vampire---4
% 0.54/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.76 % (5939)------------------------------
% 0.54/0.76 % (5939)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (5939)Termination reason: Refutation
% 0.54/0.76
% 0.54/0.76 % (5939)Memory used [KB]: 1050
% 0.54/0.76 % (5939)Time elapsed: 0.003 s
% 0.54/0.76 % (5939)Instructions burned: 3 (million)
% 0.54/0.76 % (5933)Success in time 0.395 s
% 0.54/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------