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 : n008.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 02:23:12 EDT 2024
% Result : Theorem 0.58s 0.74s
% Output : Refutation 0.58s
% 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(f96,plain,
$false,
inference(subsumption_resolution,[],[f95,f86]) ).
fof(f86,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f58]) ).
fof(f58,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.fFYtj6vKZE/Vampire---4.8_10966',ax10_basics) ).
fof(f95,plain,
left_apart_point(sK1,sK3),
inference(subsumption_resolution,[],[f92,f86]) ).
fof(f92,plain,
( left_apart_point(sK0,sK3)
| left_apart_point(sK1,sK3) ),
inference(resolution,[],[f67,f74]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ divides_points(X2,X0,X1)
| left_apart_point(X0,X2)
| left_apart_point(X1,X2) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,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,[],[f61]) ).
fof(f61,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.fFYtj6vKZE/Vampire---4.8_10966',a8_defns) ).
fof(f67,plain,
divides_points(sK3,sK0,sK1),
inference(cnf_transformation,[],[f60]) ).
fof(f60,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])],[f52,f59]) ).
fof(f59,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(f52,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,[],[f51]) ).
fof(f51,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.fFYtj6vKZE/Vampire---4.8_10966',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO237+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % 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
% 0.14/0.35 % Computer : n008.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 : Tue Apr 30 19:00:58 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_NEQ problem
% 0.14/0.35 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.fFYtj6vKZE/Vampire---4.8_10966
% 0.58/0.74 % (11196)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)
% 0.58/0.74 % (11196)First to succeed.
% 0.58/0.74 % (11189)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)
% 0.58/0.74 % (11191)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.74 % (11190)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)
% 0.58/0.74 % (11192)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)
% 0.58/0.74 % (11193)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)
% 0.58/0.74 % (11194)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)
% 0.58/0.74 % (11195)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)
% 0.58/0.74 % (11196)Refutation found. Thanks to Tanya!
% 0.58/0.74 % SZS status Theorem for Vampire---4
% 0.58/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.74 % (11196)------------------------------
% 0.58/0.74 % (11196)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.74 % (11196)Termination reason: Refutation
% 0.58/0.74
% 0.58/0.74 % (11196)Memory used [KB]: 1046
% 0.58/0.74 % (11196)Time elapsed: 0.002 s
% 0.58/0.74 % (11196)Instructions burned: 3 (million)
% 0.58/0.74 % (11196)------------------------------
% 0.58/0.74 % (11196)------------------------------
% 0.58/0.74 % (11120)Success in time 0.38 s
% 0.58/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------