TSTP Solution File: GEO209+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO209+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 : n006.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 02:22:58 EDT 2024
% Result : Theorem 0.56s 0.74s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 81 ( 36 ~; 18 |; 22 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 44 ( 36 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f85,plain,
$false,
inference(subsumption_resolution,[],[f81,f73]) ).
fof(f73,plain,
~ convergent_lines(sK2,sK3),
inference(unit_resulting_resolution,[],[f40,f41,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.4d2LPjHXOl/Vampire---4.8_30359',apart6) ).
fof(f41,plain,
~ convergent_lines(sK3,sK1),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
? [X0,X1,X2,X3] :
( distinct_lines(X2,X3)
& ~ convergent_lines(X3,X1)
& ~ convergent_lines(X2,X1)
& ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& apart_point_and_line(X0,X1) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
? [X0,X1,X2,X3] :
( distinct_lines(X2,X3)
& ~ convergent_lines(X3,X1)
& ~ convergent_lines(X2,X1)
& ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
~ ! [X0,X1,X2,X3] :
( ( ~ convergent_lines(X3,X1)
& ~ convergent_lines(X2,X1)
& ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& apart_point_and_line(X0,X1) )
=> ~ distinct_lines(X2,X3) ),
inference(rectify,[],[f17]) ).
fof(f17,negated_conjecture,
~ ! [X5,X6,X7,X8] :
( ( ~ convergent_lines(X8,X6)
& ~ convergent_lines(X7,X6)
& ~ apart_point_and_line(X5,X8)
& ~ apart_point_and_line(X5,X7)
& apart_point_and_line(X5,X6) )
=> ~ distinct_lines(X7,X8) ),
inference(negated_conjecture,[],[f16]) ).
fof(f16,conjecture,
! [X5,X6,X7,X8] :
( ( ~ convergent_lines(X8,X6)
& ~ convergent_lines(X7,X6)
& ~ apart_point_and_line(X5,X8)
& ~ apart_point_and_line(X5,X7)
& apart_point_and_line(X5,X6) )
=> ~ distinct_lines(X7,X8) ),
file('/export/starexec/sandbox/tmp/tmp.4d2LPjHXOl/Vampire---4.8_30359',con) ).
fof(f40,plain,
~ convergent_lines(sK2,sK1),
inference(cnf_transformation,[],[f21]) ).
fof(f81,plain,
convergent_lines(sK2,sK3),
inference(unit_resulting_resolution,[],[f38,f39,f42,f43]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X2)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
=> ( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.4d2LPjHXOl/Vampire---4.8_30359',cup1) ).
fof(f42,plain,
distinct_lines(sK2,sK3),
inference(cnf_transformation,[],[f21]) ).
fof(f39,plain,
~ apart_point_and_line(sK0,sK3),
inference(cnf_transformation,[],[f21]) ).
fof(f38,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO209+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
% 0.16/0.36 % Computer : n006.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 18:48:05 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.16/0.36 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.4d2LPjHXOl/Vampire---4.8_30359
% 0.56/0.74 % (30610)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)
% 0.56/0.74 % (30604)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)
% 0.56/0.74 % (30605)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)
% 0.56/0.74 % (30606)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74 % (30610)First to succeed.
% 0.56/0.74 % (30607)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)
% 0.56/0.74 % (30608)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)
% 0.56/0.74 % (30610)Refutation found. Thanks to Tanya!
% 0.56/0.74 % SZS status Theorem for Vampire---4
% 0.56/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75 % (30610)------------------------------
% 0.56/0.75 % (30610)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (30610)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (30610)Memory used [KB]: 1060
% 0.56/0.75 % (30610)Time elapsed: 0.002 s
% 0.56/0.75 % (30610)Instructions burned: 4 (million)
% 0.56/0.75 % (30610)------------------------------
% 0.56/0.75 % (30610)------------------------------
% 0.56/0.75 % (30600)Success in time 0.378 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------