TSTP Solution File: GEO204+2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO204+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 : n026.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 05:10:26 EDT 2024
% Result : Theorem 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 65 ( 7 unt; 0 def)
% Number of atoms : 222 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 255 ( 98 ~; 125 |; 19 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 93 ( 84 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f169,plain,
$false,
inference(avatar_sat_refutation,[],[f52,f70,f98,f152,f168]) ).
fof(f168,plain,
( spl3_5
| ~ spl3_1
| ~ spl3_2
| spl3_4 ),
inference(avatar_split_clause,[],[f167,f83,f49,f45,f87]) ).
fof(f87,plain,
( spl3_5
<=> ! [X0] :
( apart_point_and_line(X0,line_connecting(sK0,sK2))
| ~ distinct_points(X0,sK1)
| apart_point_and_line(X0,line_connecting(sK0,sK1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f45,plain,
( spl3_1
<=> distinct_points(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f49,plain,
( spl3_2
<=> distinct_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f83,plain,
( spl3_4
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f167,plain,
( ! [X0] :
( apart_point_and_line(X0,line_connecting(sK0,sK2))
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| ~ distinct_points(X0,sK1) )
| ~ spl3_1
| ~ spl3_2
| spl3_4 ),
inference(subsumption_resolution,[],[f166,f84]) ).
fof(f84,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK0,sK1))
| spl3_4 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f166,plain,
( ! [X0] :
( apart_point_and_line(X0,line_connecting(sK0,sK2))
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ distinct_points(X0,sK1) )
| ~ spl3_1
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f165,f46]) ).
fof(f46,plain,
( distinct_points(sK0,sK2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f165,plain,
( ! [X0] :
( ~ distinct_points(sK0,sK2)
| apart_point_and_line(X0,line_connecting(sK0,sK2))
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ distinct_points(X0,sK1) )
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f99,f38]) ).
fof(f38,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.zNFAJQvGMU/Vampire---4.8_31073',apart1) ).
fof(f99,plain,
( ! [X0] :
( distinct_points(sK2,sK2)
| ~ distinct_points(sK0,sK2)
| apart_point_and_line(X0,line_connecting(sK0,sK2))
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ distinct_points(X0,sK1) )
| ~ spl3_2 ),
inference(resolution,[],[f58,f71]) ).
fof(f71,plain,
( ! [X0,X1] :
( apart_point_and_line(X0,line_connecting(sK0,sK2))
| apart_point_and_line(X1,line_connecting(sK0,sK2))
| apart_point_and_line(X1,line_connecting(sK0,sK1))
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| ~ distinct_points(X1,X0) )
| ~ spl3_2 ),
inference(resolution,[],[f51,f43]) ).
fof(f43,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1) ),
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,[],[f15]) ).
fof(f15,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.zNFAJQvGMU/Vampire---4.8_31073',cu1) ).
fof(f51,plain,
( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f58,plain,
! [X0,X1] :
( ~ apart_point_and_line(sK1,line_connecting(X0,X1))
| distinct_points(sK2,X1)
| ~ distinct_points(X0,X1) ),
inference(resolution,[],[f53,f36]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X1)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.zNFAJQvGMU/Vampire---4.8_31073',con1) ).
fof(f53,plain,
! [X0] :
( apart_point_and_line(sK2,X0)
| ~ apart_point_and_line(sK1,X0) ),
inference(resolution,[],[f33,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( distinct_points(X0,X2)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X0,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.zNFAJQvGMU/Vampire---4.8_31073',ceq1) ).
fof(f33,plain,
~ distinct_points(sK1,sK2),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
| ~ distinct_points(sK0,sK2) )
& ~ distinct_points(sK1,sK2)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f30]) ).
fof(f30,plain,
( ? [X0,X1,X2] :
( ( distinct_lines(line_connecting(X0,X1),line_connecting(X0,X2))
| ~ distinct_points(X0,X2) )
& ~ distinct_points(X1,X2)
& distinct_points(X0,X1) )
=> ( ( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
| ~ distinct_points(sK0,sK2) )
& ~ distinct_points(sK1,sK2)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0,X1,X2] :
( ( distinct_lines(line_connecting(X0,X1),line_connecting(X0,X2))
| ~ distinct_points(X0,X2) )
& ~ distinct_points(X1,X2)
& distinct_points(X0,X1) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ( distinct_lines(line_connecting(X0,X1),line_connecting(X0,X2))
| ~ distinct_points(X0,X2) )
& ~ distinct_points(X1,X2)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ distinct_points(X1,X2)
& distinct_points(X0,X1) )
=> ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( ( ~ distinct_points(X1,X2)
& distinct_points(X0,X1) )
=> ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.zNFAJQvGMU/Vampire---4.8_31073',con) ).
fof(f152,plain,
( ~ spl3_1
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f151]) ).
fof(f151,plain,
( $false
| ~ spl3_1
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f150,f38]) ).
fof(f150,plain,
( distinct_points(sK0,sK0)
| ~ spl3_1
| ~ spl3_5 ),
inference(resolution,[],[f125,f32]) ).
fof(f32,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f31]) ).
fof(f125,plain,
( ! [X0] :
( ~ distinct_points(X0,sK1)
| distinct_points(X0,sK0) )
| ~ spl3_1
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f124,f32]) ).
fof(f124,plain,
( ! [X0] :
( ~ distinct_points(X0,sK1)
| distinct_points(X0,sK0)
| ~ distinct_points(sK0,sK1) )
| ~ spl3_1
| ~ spl3_5 ),
inference(duplicate_literal_removal,[],[f119]) ).
fof(f119,plain,
( ! [X0] :
( ~ distinct_points(X0,sK1)
| distinct_points(X0,sK0)
| distinct_points(X0,sK0)
| ~ distinct_points(sK0,sK1) )
| ~ spl3_1
| ~ spl3_5 ),
inference(resolution,[],[f111,f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X0)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f111,plain,
( ! [X0] :
( apart_point_and_line(X0,line_connecting(sK0,sK1))
| ~ distinct_points(X0,sK1)
| distinct_points(X0,sK0) )
| ~ spl3_1
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f107,f46]) ).
fof(f107,plain,
( ! [X0] :
( ~ distinct_points(X0,sK1)
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| distinct_points(X0,sK0)
| ~ distinct_points(sK0,sK2) )
| ~ spl3_5 ),
inference(resolution,[],[f88,f35]) ).
fof(f88,plain,
( ! [X0] :
( apart_point_and_line(X0,line_connecting(sK0,sK2))
| ~ distinct_points(X0,sK1)
| apart_point_and_line(X0,line_connecting(sK0,sK1)) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f98,plain,
~ spl3_4,
inference(avatar_contradiction_clause,[],[f97]) ).
fof(f97,plain,
( $false
| ~ spl3_4 ),
inference(subsumption_resolution,[],[f96,f32]) ).
fof(f96,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl3_4 ),
inference(subsumption_resolution,[],[f92,f38]) ).
fof(f92,plain,
( distinct_points(sK1,sK1)
| ~ distinct_points(sK0,sK1)
| ~ spl3_4 ),
inference(resolution,[],[f85,f36]) ).
fof(f85,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f70,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f69]) ).
fof(f69,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f67,f32]) ).
fof(f67,plain,
( ~ distinct_points(sK0,sK1)
| spl3_1 ),
inference(resolution,[],[f56,f33]) ).
fof(f56,plain,
( ! [X0] :
( distinct_points(X0,sK2)
| ~ distinct_points(sK0,X0) )
| spl3_1 ),
inference(resolution,[],[f47,f37]) ).
fof(f37,plain,
! [X2,X0,X1] :
( distinct_points(X0,X2)
| distinct_points(X1,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f20]) ).
fof(f20,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.zNFAJQvGMU/Vampire---4.8_31073',apart4) ).
fof(f47,plain,
( ~ distinct_points(sK0,sK2)
| spl3_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f52,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f34,f49,f45]) ).
fof(f34,plain,
( distinct_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
| ~ distinct_points(sK0,sK2) ),
inference(cnf_transformation,[],[f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO204+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n026.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.zNFAJQvGMU/Vampire---4.8_31073
% 0.56/0.75 % (31190)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)
% 0.56/0.75 % (31183)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)
% 0.56/0.75 % (31186)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)
% 0.56/0.75 % (31184)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)
% 0.56/0.75 % (31185)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (31187)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)
% 0.56/0.75 % (31188)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)
% 0.56/0.75 % (31189)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)
% 0.56/0.75 % (31190)First to succeed.
% 0.56/0.75 % (31188)Refutation not found, incomplete strategy% (31188)------------------------------
% 0.56/0.75 % (31188)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (31188)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (31188)Memory used [KB]: 986
% 0.56/0.75 % (31188)Time elapsed: 0.003 s
% 0.56/0.75 % (31188)Instructions burned: 2 (million)
% 0.56/0.75 % (31190)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31182"
% 0.56/0.75 % (31188)------------------------------
% 0.56/0.75 % (31188)------------------------------
% 0.56/0.75 % (31190)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Theorem for Vampire---4
% 0.56/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75 % (31190)------------------------------
% 0.56/0.75 % (31190)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (31190)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (31190)Memory used [KB]: 1031
% 0.56/0.75 % (31190)Time elapsed: 0.004 s
% 0.56/0.75 % (31190)Instructions burned: 8 (million)
% 0.56/0.75 % (31182)Success in time 0.383 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------