TSTP Solution File: GEO179+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO179+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 : Wed May 1 02:22:44 EDT 2024
% Result : Theorem 0.66s 0.82s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 42 ( 9 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 109 ( 40 ~; 44 |; 17 &)
% ( 2 <=>; 6 =>; 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 : 50 ( 41 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f82,plain,
$false,
inference(avatar_sat_refutation,[],[f52,f68,f81]) ).
fof(f81,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f80]) ).
fof(f80,plain,
( $false
| spl3_2 ),
inference(subsumption_resolution,[],[f79,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.J1f2RGzZea/Vampire---4.8_29145',apart1) ).
fof(f79,plain,
( distinct_points(sK2,sK2)
| spl3_2 ),
inference(resolution,[],[f77,f33]) ).
fof(f33,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f31]) ).
fof(f31,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])],[f17,f30]) ).
fof(f30,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(f17,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,[],[f16]) ).
fof(f16,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,[],[f14]) ).
fof(f14,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,[],[f13]) ).
fof(f13,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/sandbox/tmp/tmp.J1f2RGzZea/Vampire---4.8_29145',con) ).
fof(f77,plain,
( ! [X0] :
( ~ apart_point_and_line(X0,line_connecting(sK0,sK1))
| distinct_points(X0,sK2) )
| spl3_2 ),
inference(subsumption_resolution,[],[f75,f56]) ).
fof(f56,plain,
distinct_points(sK2,sK1),
inference(subsumption_resolution,[],[f54,f32]) ).
fof(f32,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f31]) ).
fof(f54,plain,
( distinct_points(sK2,sK1)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f33,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.J1f2RGzZea/Vampire---4.8_29145',con1) ).
fof(f75,plain,
( ! [X0] :
( ~ apart_point_and_line(X0,line_connecting(sK0,sK1))
| distinct_points(X0,sK2)
| ~ distinct_points(sK2,sK1) )
| spl3_2 ),
inference(resolution,[],[f71,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(f71,plain,
( ! [X0] :
( apart_point_and_line(X0,line_connecting(sK2,sK1))
| ~ apart_point_and_line(X0,line_connecting(sK0,sK1)) )
| spl3_2 ),
inference(resolution,[],[f51,f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,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.J1f2RGzZea/Vampire---4.8_29145',ceq2) ).
fof(f51,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1))
| spl3_2 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl3_2
<=> distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f68,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f67]) ).
fof(f67,plain,
( $false
| spl3_1 ),
inference(subsumption_resolution,[],[f66,f38]) ).
fof(f66,plain,
( distinct_points(sK2,sK2)
| spl3_1 ),
inference(resolution,[],[f64,f33]) ).
fof(f64,plain,
( ! [X0] :
( ~ apart_point_and_line(X0,line_connecting(sK0,sK1))
| distinct_points(X0,sK2) )
| spl3_1 ),
inference(subsumption_resolution,[],[f62,f55]) ).
fof(f55,plain,
distinct_points(sK2,sK0),
inference(subsumption_resolution,[],[f53,f32]) ).
fof(f53,plain,
( distinct_points(sK2,sK0)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f33,f35]) ).
fof(f62,plain,
( ! [X0] :
( ~ apart_point_and_line(X0,line_connecting(sK0,sK1))
| distinct_points(X0,sK2)
| ~ distinct_points(sK2,sK0) )
| spl3_1 ),
inference(resolution,[],[f58,f35]) ).
fof(f58,plain,
( ! [X0] :
( apart_point_and_line(X0,line_connecting(sK2,sK0))
| ~ apart_point_and_line(X0,line_connecting(sK0,sK1)) )
| spl3_1 ),
inference(resolution,[],[f47,f39]) ).
fof(f47,plain,
( ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0))
| spl3_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl3_1
<=> distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
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(sK2,sK1))
| ~ distinct_lines(line_connecting(sK0,sK1),line_connecting(sK2,sK0)) ),
inference(cnf_transformation,[],[f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO179+2 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.12 % 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
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 18:52:41 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a FOF_THM_RFO_NEQ problem
% 0.11/0.33 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.J1f2RGzZea/Vampire---4.8_29145
% 0.66/0.82 % (29257)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)
% 0.66/0.82 % (29254)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)
% 0.66/0.82 % (29253)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)
% 0.66/0.82 % (29256)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)
% 0.66/0.82 % (29258)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)
% 0.66/0.82 % (29259)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)
% 0.66/0.82 % (29260)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)
% 0.66/0.82 % (29255)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.66/0.82 % (29258)Refutation not found, incomplete strategy% (29258)------------------------------
% 0.66/0.82 % (29258)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82 % (29258)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82
% 0.66/0.82 % (29258)Memory used [KB]: 979
% 0.66/0.82 % (29258)Time elapsed: 0.003 s
% 0.66/0.82 % (29258)Instructions burned: 2 (million)
% 0.66/0.82 % (29258)------------------------------
% 0.66/0.82 % (29258)------------------------------
% 0.66/0.82 % (29260)First to succeed.
% 0.66/0.82 % (29260)Refutation found. Thanks to Tanya!
% 0.66/0.82 % SZS status Theorem for Vampire---4
% 0.66/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.82 % (29260)------------------------------
% 0.66/0.82 % (29260)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82 % (29260)Termination reason: Refutation
% 0.66/0.82
% 0.66/0.82 % (29260)Memory used [KB]: 999
% 0.66/0.82 % (29260)Time elapsed: 0.004 s
% 0.66/0.82 % (29260)Instructions burned: 4 (million)
% 0.66/0.82 % (29260)------------------------------
% 0.66/0.82 % (29260)------------------------------
% 0.66/0.82 % (29252)Success in time 0.485 s
% 0.66/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------