TSTP Solution File: GEO176+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO176+2 : TPTP v8.1.2. Released v3.3.0.
% 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 : Wed May 1 02:22:43 EDT 2024
% Result : Theorem 0.54s 0.75s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 7 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 80 ( 26 ~; 23 |; 23 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 41 ( 29 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f72,plain,
$false,
inference(avatar_sat_refutation,[],[f60,f67,f71]) ).
fof(f71,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f70]) ).
fof(f70,plain,
( $false
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f69,f59]) ).
fof(f59,plain,
( apart_point_and_line(sK0,sK3)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl4_2
<=> apart_point_and_line(sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f69,plain,
~ apart_point_and_line(sK0,sK3),
inference(resolution,[],[f62,f39]) ).
fof(f39,plain,
~ distinct_points(sK0,intersection_point(sK2,sK3)),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ~ distinct_points(sK0,intersection_point(sK2,sK3))
& ( apart_point_and_line(sK0,sK3)
| apart_point_and_line(sK0,sK2) )
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f18,f34]) ).
fof(f34,plain,
( ? [X0,X1,X2,X3] :
( ~ distinct_points(X0,intersection_point(X2,X3))
& ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) )
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( ~ distinct_points(sK0,intersection_point(sK2,sK3))
& ( apart_point_and_line(sK0,sK3)
| apart_point_and_line(sK0,sK2) )
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0,X1,X2,X3] :
( ~ distinct_points(X0,intersection_point(X2,X3))
& ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) )
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
? [X0,X1,X2,X3] :
( ~ distinct_points(X0,intersection_point(X2,X3))
& ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) )
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X0,X1,X2,X3] :
( ( ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) )
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> distinct_points(X0,intersection_point(X2,X3)) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) )
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> distinct_points(X0,intersection_point(X3,X4)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X3,X4] :
( ( ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) )
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> distinct_points(X0,intersection_point(X3,X4)) ),
file('/export/starexec/sandbox2/tmp/tmp.NS1GvL8MCR/Vampire---4.8_17901',con) ).
fof(f62,plain,
! [X0] :
( distinct_points(X0,intersection_point(sK2,sK3))
| ~ apart_point_and_line(X0,sK3) ),
inference(resolution,[],[f37,f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X1)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NS1GvL8MCR/Vampire---4.8_17901',con2) ).
fof(f37,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f35]) ).
fof(f67,plain,
~ spl4_1,
inference(avatar_split_clause,[],[f66,f53]) ).
fof(f53,plain,
( spl4_1
<=> apart_point_and_line(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f66,plain,
~ apart_point_and_line(sK0,sK2),
inference(resolution,[],[f61,f39]) ).
fof(f61,plain,
! [X0] :
( distinct_points(X0,intersection_point(sK2,sK3))
| ~ apart_point_and_line(X0,sK2) ),
inference(resolution,[],[f37,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X0)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f60,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f38,f57,f53]) ).
fof(f38,plain,
( apart_point_and_line(sK0,sK3)
| apart_point_and_line(sK0,sK2) ),
inference(cnf_transformation,[],[f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO176+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15 % 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
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 19:09:14 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.15/0.36 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.NS1GvL8MCR/Vampire---4.8_17901
% 0.54/0.74 % (18094)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)
% 0.54/0.74 % (18089)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.74 % (18090)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)
% 0.54/0.74 % (18087)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)
% 0.54/0.74 % (18091)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)
% 0.54/0.74 % (18088)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)
% 0.54/0.74 % (18094)First to succeed.
% 0.54/0.75 % (18093)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)
% 0.54/0.75 % (18092)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)
% 0.54/0.75 % (18087)Also succeeded, but the first one will report.
% 0.54/0.75 % (18094)Refutation found. Thanks to Tanya!
% 0.54/0.75 % SZS status Theorem for Vampire---4
% 0.54/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.75 % (18094)------------------------------
% 0.54/0.75 % (18094)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75 % (18094)Termination reason: Refutation
% 0.54/0.75
% 0.54/0.75 % (18094)Memory used [KB]: 989
% 0.54/0.75 % (18094)Time elapsed: 0.006 s
% 0.54/0.75 % (18094)Instructions burned: 3 (million)
% 0.54/0.75 % (18094)------------------------------
% 0.54/0.75 % (18094)------------------------------
% 0.54/0.75 % (18078)Success in time 0.379 s
% 0.54/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------