TSTP Solution File: GEO196+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO196+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n005.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 05:10:22 EDT 2024
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 14 unt; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 139 ( 55 ~; 49 |; 24 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 75 ( 67 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f167,plain,
$false,
inference(avatar_sat_refutation,[],[f59,f153,f166]) ).
fof(f166,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f165]) ).
fof(f165,plain,
( $false
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f154,f143]) ).
fof(f143,plain,
~ distinct_points(intersection_point(sK2,sK3),intersection_point(sK0,sK1)),
inference(unit_resulting_resolution,[],[f38,f37,f69,f70,f71,f46]) ).
fof(f46,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2,X3] :
( ( distinct_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.PMw6EPzQxB/Vampire---4.8_17889',cu1) ).
fof(f71,plain,
~ apart_point_and_line(intersection_point(sK2,sK3),sK3),
inference(unit_resulting_resolution,[],[f48,f36,f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,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,[],[f19]) ).
fof(f19,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/sandbox/tmp/tmp.PMw6EPzQxB/Vampire---4.8_17889',con2) ).
fof(f36,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(intersection_point(X2,X3),X1)
| apart_point_and_line(intersection_point(X2,X3),X0) )
& ~ apart_point_and_line(intersection_point(X0,X1),X3)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(intersection_point(X2,X3),X1)
| apart_point_and_line(intersection_point(X2,X3),X0) )
& ~ apart_point_and_line(intersection_point(X0,X1),X3)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X0,X1,X2,X3] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X3)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X2,X3)
& convergent_lines(X0,X1) )
=> ( ~ apart_point_and_line(intersection_point(X2,X3),X1)
& ~ apart_point_and_line(intersection_point(X2,X3),X0) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X4)
& ~ apart_point_and_line(intersection_point(X0,X1),X3)
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( ~ apart_point_and_line(intersection_point(X3,X4),X1)
& ~ apart_point_and_line(intersection_point(X3,X4),X0) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X3,X4] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X4)
& ~ apart_point_and_line(intersection_point(X0,X1),X3)
& convergent_lines(X3,X4)
& convergent_lines(X0,X1) )
=> ( ~ apart_point_and_line(intersection_point(X3,X4),X1)
& ~ apart_point_and_line(intersection_point(X3,X4),X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.PMw6EPzQxB/Vampire---4.8_17889',con) ).
fof(f48,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.PMw6EPzQxB/Vampire---4.8_17889',apart1) ).
fof(f70,plain,
~ apart_point_and_line(intersection_point(sK2,sK3),sK2),
inference(unit_resulting_resolution,[],[f48,f36,f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f69,plain,
distinct_lines(sK2,sK3),
inference(unit_resulting_resolution,[],[f36,f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.PMw6EPzQxB/Vampire---4.8_17889',ceq3) ).
fof(f37,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f18]) ).
fof(f38,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK3),
inference(cnf_transformation,[],[f18]) ).
fof(f154,plain,
( distinct_points(intersection_point(sK2,sK3),intersection_point(sK0,sK1))
| ~ spl4_1 ),
inference(unit_resulting_resolution,[],[f64,f54,f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.PMw6EPzQxB/Vampire---4.8_17889',ceq1) ).
fof(f54,plain,
( apart_point_and_line(intersection_point(sK2,sK3),sK1)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl4_1
<=> apart_point_and_line(intersection_point(sK2,sK3),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f64,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK1),
inference(unit_resulting_resolution,[],[f48,f35,f40]) ).
fof(f35,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f153,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f152]) ).
fof(f152,plain,
( $false
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f143,f113]) ).
fof(f113,plain,
( distinct_points(intersection_point(sK2,sK3),intersection_point(sK0,sK1))
| ~ spl4_2 ),
inference(unit_resulting_resolution,[],[f35,f58,f39]) ).
fof(f58,plain,
( apart_point_and_line(intersection_point(sK2,sK3),sK0)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl4_2
<=> apart_point_and_line(intersection_point(sK2,sK3),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f59,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f34,f56,f52]) ).
fof(f34,plain,
( apart_point_and_line(intersection_point(sK2,sK3),sK0)
| apart_point_and_line(intersection_point(sK2,sK3),sK1) ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO196+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.15 % 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
% 0.15/0.36 % Computer : n005.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 : Fri May 3 21:59:38 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.PMw6EPzQxB/Vampire---4.8_17889
% 0.57/0.76 % (18154)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)
% 0.57/0.76 % (18148)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)
% 0.57/0.76 % (18150)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76 % (18151)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)
% 0.57/0.76 % (18152)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)
% 0.57/0.76 % (18149)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)
% 0.57/0.76 % (18153)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)
% 0.57/0.76 % (18154)First to succeed.
% 0.57/0.76 % (18151)Refutation not found, incomplete strategy% (18151)------------------------------
% 0.57/0.76 % (18151)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (18151)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (18151)Memory used [KB]: 977
% 0.57/0.76 % (18151)Time elapsed: 0.003 s
% 0.57/0.76 % (18151)Instructions burned: 2 (million)
% 0.57/0.76 % (18154)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18144"
% 0.57/0.76 % (18151)------------------------------
% 0.57/0.76 % (18151)------------------------------
% 0.57/0.76 % (18154)Refutation found. Thanks to Tanya!
% 0.57/0.76 % SZS status Theorem for Vampire---4
% 0.57/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76 % (18154)------------------------------
% 0.57/0.76 % (18154)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (18154)Termination reason: Refutation
% 0.57/0.76
% 0.57/0.76 % (18154)Memory used [KB]: 1069
% 0.57/0.76 % (18154)Time elapsed: 0.004 s
% 0.57/0.76 % (18154)Instructions burned: 7 (million)
% 0.57/0.76 % (18144)Success in time 0.38 s
% 0.57/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------