TSTP Solution File: GEO187+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO187+1 : 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 : n019.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 05:10:17 EDT 2024
% Result : Theorem 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 49 ( 15 unt; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 139 ( 57 ~; 49 |; 22 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 78 ( 70 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f181,plain,
$false,
inference(avatar_sat_refutation,[],[f62,f134,f180]) ).
fof(f180,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f179]) ).
fof(f179,plain,
( $false
| ~ spl4_1 ),
inference(subsumption_resolution,[],[f164,f115]) ).
fof(f115,plain,
~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK3)),
inference(unit_resulting_resolution,[],[f40,f41,f64,f65,f66,f45]) ).
fof(f45,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,[],[f26]) ).
fof(f26,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,[],[f25]) ).
fof(f25,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,[],[f18]) ).
fof(f18,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,[],[f11]) ).
fof(f11,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.NSFiPqIU4O/Vampire---4.8_29397',cu1) ).
fof(f66,plain,
~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f38,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.NSFiPqIU4O/Vampire---4.8_29397',ci2) ).
fof(f38,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X3,line_connecting(X0,X1))
| apart_point_and_line(X2,line_connecting(X0,X1)) )
& ~ apart_point_and_line(X1,line_connecting(X2,X3))
& ~ apart_point_and_line(X0,line_connecting(X2,X3))
& distinct_points(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(X3,line_connecting(X0,X1))
| apart_point_and_line(X2,line_connecting(X0,X1)) )
& ~ apart_point_and_line(X1,line_connecting(X2,X3))
& ~ apart_point_and_line(X0,line_connecting(X2,X3))
& distinct_points(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
~ ! [X0,X1,X2,X3] :
( ( ~ apart_point_and_line(X1,line_connecting(X2,X3))
& ~ apart_point_and_line(X0,line_connecting(X2,X3))
& distinct_points(X2,X3)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X3,line_connecting(X0,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1)) ) ),
inference(rectify,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( ~ apart_point_and_line(X1,line_connecting(X3,X4))
& ~ apart_point_and_line(X0,line_connecting(X3,X4))
& distinct_points(X3,X4)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X4,line_connecting(X0,X1))
& ~ apart_point_and_line(X3,line_connecting(X0,X1)) ) ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X1,X3,X4] :
( ( ~ apart_point_and_line(X1,line_connecting(X3,X4))
& ~ apart_point_and_line(X0,line_connecting(X3,X4))
& distinct_points(X3,X4)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(X4,line_connecting(X0,X1))
& ~ apart_point_and_line(X3,line_connecting(X0,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.NSFiPqIU4O/Vampire---4.8_29397',con) ).
fof(f65,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f38,f43]) ).
fof(f43,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.NSFiPqIU4O/Vampire---4.8_29397',ci1) ).
fof(f64,plain,
distinct_points(sK1,sK0),
inference(unit_resulting_resolution,[],[f47,f38,f46]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.NSFiPqIU4O/Vampire---4.8_29397',apart4) ).
fof(f47,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.NSFiPqIU4O/Vampire---4.8_29397',apart1) ).
fof(f41,plain,
~ apart_point_and_line(sK1,line_connecting(sK2,sK3)),
inference(cnf_transformation,[],[f20]) ).
fof(f40,plain,
~ apart_point_and_line(sK0,line_connecting(sK2,sK3)),
inference(cnf_transformation,[],[f20]) ).
fof(f164,plain,
( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK3))
| ~ spl4_1 ),
inference(unit_resulting_resolution,[],[f57,f71,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.NSFiPqIU4O/Vampire---4.8_29397',ceq2) ).
fof(f71,plain,
~ apart_point_and_line(sK3,line_connecting(sK2,sK3)),
inference(unit_resulting_resolution,[],[f39,f42]) ).
fof(f39,plain,
distinct_points(sK2,sK3),
inference(cnf_transformation,[],[f20]) ).
fof(f57,plain,
( apart_point_and_line(sK3,line_connecting(sK0,sK1))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl4_1
<=> apart_point_and_line(sK3,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f134,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f133]) ).
fof(f133,plain,
( $false
| ~ spl4_2 ),
inference(subsumption_resolution,[],[f124,f115]) ).
fof(f124,plain,
( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK3))
| ~ spl4_2 ),
inference(unit_resulting_resolution,[],[f61,f70,f49]) ).
fof(f70,plain,
~ apart_point_and_line(sK2,line_connecting(sK2,sK3)),
inference(unit_resulting_resolution,[],[f39,f43]) ).
fof(f61,plain,
( apart_point_and_line(sK2,line_connecting(sK0,sK1))
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl4_2
<=> apart_point_and_line(sK2,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f62,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f37,f59,f55]) ).
fof(f37,plain,
( apart_point_and_line(sK2,line_connecting(sK0,sK1))
| apart_point_and_line(sK3,line_connecting(sK0,sK1)) ),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO187+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11 % 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
% 0.11/0.31 % Computer : n019.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 21:55:22 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a FOF_THM_RFO_NEQ problem
% 0.16/0.31 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.NSFiPqIU4O/Vampire---4.8_29397
% 0.60/0.79 % (29511)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)
% 0.60/0.79 % (29509)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79 % (29510)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)
% 0.60/0.79 % (29512)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)
% 0.60/0.79 % (29507)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)
% 0.60/0.79 % (29513)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)
% 0.60/0.79 % (29514)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)
% 0.60/0.79 % (29508)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)
% 0.60/0.79 % (29514)Refutation not found, incomplete strategy% (29514)------------------------------
% 0.60/0.79 % (29514)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (29514)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (29514)Memory used [KB]: 976
% 0.60/0.79 % (29514)Time elapsed: 0.003 s
% 0.60/0.79 % (29514)Instructions burned: 2 (million)
% 0.60/0.79 % (29514)------------------------------
% 0.60/0.79 % (29514)------------------------------
% 0.60/0.79 % (29510)Refutation not found, incomplete strategy% (29510)------------------------------
% 0.60/0.79 % (29510)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (29510)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (29510)Memory used [KB]: 984
% 0.60/0.79 % (29510)Time elapsed: 0.004 s
% 0.60/0.79 % (29510)Instructions burned: 4 (million)
% 0.60/0.79 % (29510)------------------------------
% 0.60/0.79 % (29510)------------------------------
% 0.60/0.79 % (29513)First to succeed.
% 0.60/0.79 % (29513)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29506"
% 0.60/0.79 % (29513)Refutation found. Thanks to Tanya!
% 0.60/0.79 % SZS status Theorem for Vampire---4
% 0.60/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79 % (29513)------------------------------
% 0.60/0.79 % (29513)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (29513)Termination reason: Refutation
% 0.60/0.79
% 0.60/0.79 % (29513)Memory used [KB]: 1072
% 0.60/0.79 % (29513)Time elapsed: 0.006 s
% 0.60/0.79 % (29513)Instructions burned: 8 (million)
% 0.60/0.79 % (29506)Success in time 0.474 s
% 0.60/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------