TSTP Solution File: GEO179+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO179+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 : n010.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 05:10:14 EDT 2024
% Result : Theorem 0.61s 0.81s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 11 unt; 0 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 91 ( 37 ~; 31 |; 14 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 51 ( 42 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f142,plain,
$false,
inference(avatar_sat_refutation,[],[f85,f125,f141]) ).
fof(f141,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f140,plain,
( $false
| spl3_2 ),
inference(subsumption_resolution,[],[f139,f92]) ).
fof(f92,plain,
~ apart_point_and_line(sK2,line_connecting(sK2,sK1)),
inference(unit_resulting_resolution,[],[f90,f66]) ).
fof(f66,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,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/sandbox2/tmp/tmp.9IANz7MlEZ/Vampire---4.8_23731',ci1) ).
fof(f90,plain,
distinct_points(sK2,sK1),
inference(unit_resulting_resolution,[],[f86,f63,f67]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9IANz7MlEZ/Vampire---4.8_23731',ceq1) ).
fof(f63,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) )
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f42,f60]) ).
fof(f60,plain,
( ? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( ( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) )
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) )
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
& distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) )
=> ( distinct_lines(line_connecting(X0,X1),line_connecting(X2,X1))
& distinct_lines(line_connecting(X0,X1),line_connecting(X2,X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9IANz7MlEZ/Vampire---4.8_23731',con) ).
fof(f86,plain,
~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f62,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,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/sandbox2/tmp/tmp.9IANz7MlEZ/Vampire---4.8_23731',ci2) ).
fof(f62,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f61]) ).
fof(f139,plain,
( apart_point_and_line(sK2,line_connecting(sK2,sK1))
| spl3_2 ),
inference(unit_resulting_resolution,[],[f63,f84,f74]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f56]) ).
fof(f56,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/sandbox2/tmp/tmp.9IANz7MlEZ/Vampire---4.8_23731',ceq2) ).
fof(f84,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| spl3_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl3_2
<=> distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f125,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f124]) ).
fof(f124,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f122,f110]) ).
fof(f110,plain,
( apart_point_and_line(sK2,line_connecting(sK2,sK0))
| spl3_1 ),
inference(unit_resulting_resolution,[],[f80,f63,f74]) ).
fof(f80,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0))
| spl3_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl3_1
<=> distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f122,plain,
~ apart_point_and_line(sK2,line_connecting(sK2,sK0)),
inference(unit_resulting_resolution,[],[f115,f66]) ).
fof(f115,plain,
distinct_points(sK2,sK0),
inference(unit_resulting_resolution,[],[f63,f87,f67]) ).
fof(f87,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(unit_resulting_resolution,[],[f62,f66]) ).
fof(f85,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f64,f82,f78]) ).
fof(f64,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) ),
inference(cnf_transformation,[],[f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO179+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % 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 : n010.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 : Fri May 3 21:53:38 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.9IANz7MlEZ/Vampire---4.8_23731
% 0.61/0.80 % (24098)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)
% 0.61/0.80 % (24091)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)
% 0.61/0.80 % (24092)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)
% 0.61/0.80 % (24093)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.80 % (24094)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)
% 0.61/0.80 % (24095)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)
% 0.61/0.80 % (24096)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)
% 0.61/0.80 % (24097)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)
% 0.61/0.80 % (24096)Refutation not found, incomplete strategy% (24096)------------------------------
% 0.61/0.80 % (24096)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80 % (24096)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (24096)Memory used [KB]: 1102
% 0.61/0.80 % (24096)Time elapsed: 0.003 s
% 0.61/0.80 % (24096)Instructions burned: 2 (million)
% 0.61/0.80 % (24096)------------------------------
% 0.61/0.80 % (24096)------------------------------
% 0.61/0.80 % (24091)Also succeeded, but the first one will report.
% 0.61/0.80 % (24094)First to succeed.
% 0.61/0.80 % (24095)Also succeeded, but the first one will report.
% 0.61/0.80 % (24093)Also succeeded, but the first one will report.
% 0.61/0.80 % (24094)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23917"
% 0.61/0.80 % (24098)Refutation not found, incomplete strategy% (24098)------------------------------
% 0.61/0.80 % (24098)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80 % (24098)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80
% 0.61/0.80 % (24098)Memory used [KB]: 1199
% 0.61/0.80 % (24098)Time elapsed: 0.006 s
% 0.61/0.80 % (24098)Instructions burned: 14 (million)
% 0.61/0.81 % (24098)------------------------------
% 0.61/0.81 % (24098)------------------------------
% 0.61/0.81 % (24094)Refutation found. Thanks to Tanya!
% 0.61/0.81 % SZS status Theorem for Vampire---4
% 0.61/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.81 % (24094)------------------------------
% 0.61/0.81 % (24094)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81 % (24094)Termination reason: Refutation
% 0.61/0.81
% 0.61/0.81 % (24094)Memory used [KB]: 1123
% 0.61/0.81 % (24094)Time elapsed: 0.005 s
% 0.61/0.81 % (24094)Instructions burned: 5 (million)
% 0.61/0.81 % (23917)Success in time 0.434 s
% 0.61/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------