TSTP Solution File: GEO206+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO206+3 : TPTP v8.1.2. Bugfixed v4.0.1.
% 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 : 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 02:22:57 EDT 2024
% Result : Theorem 0.60s 0.81s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 31 ( 9 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 60 ( 25 ~; 14 |; 12 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 55 ( 46 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f86,plain,
$false,
inference(resolution,[],[f84,f82]) ).
fof(f82,plain,
convergent_lines(sK1,parallel_through_point(sK2,sK0)),
inference(resolution,[],[f80,f72]) ).
fof(f72,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.UHh7vJ5KcQ/Vampire---4.8_8024',p1) ).
fof(f80,plain,
distinct_lines(sK1,parallel_through_point(sK2,sK0)),
inference(resolution,[],[f63,f66]) ).
fof(f66,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( equal_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
=> equal_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( equal_lines(X0,X1)
<=> ~ distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.UHh7vJ5KcQ/Vampire---4.8_8024',ax2) ).
fof(f63,plain,
~ equal_lines(sK1,parallel_through_point(sK2,sK0)),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ~ equal_lines(sK1,parallel_through_point(sK2,sK0))
& parallel_lines(sK1,sK2)
& incident_point_and_line(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f44,f59]) ).
fof(f59,plain,
( ? [X0,X1,X2] :
( ~ equal_lines(X1,parallel_through_point(X2,X0))
& parallel_lines(X1,X2)
& incident_point_and_line(X0,X1) )
=> ( ~ equal_lines(sK1,parallel_through_point(sK2,sK0))
& parallel_lines(sK1,sK2)
& incident_point_and_line(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
? [X0,X1,X2] :
( ~ equal_lines(X1,parallel_through_point(X2,X0))
& parallel_lines(X1,X2)
& incident_point_and_line(X0,X1) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
? [X0,X1,X2] :
( ~ equal_lines(X1,parallel_through_point(X2,X0))
& parallel_lines(X1,X2)
& incident_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( parallel_lines(X1,X2)
& incident_point_and_line(X0,X1) )
=> equal_lines(X1,parallel_through_point(X2,X0)) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( parallel_lines(X1,X2)
& incident_point_and_line(X0,X1) )
=> equal_lines(X1,parallel_through_point(X2,X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.UHh7vJ5KcQ/Vampire---4.8_8024',con) ).
fof(f84,plain,
! [X0] : ~ convergent_lines(sK1,parallel_through_point(sK2,X0)),
inference(resolution,[],[f81,f65]) ).
fof(f65,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/tmp/tmp.UHh7vJ5KcQ/Vampire---4.8_8024',cp1) ).
fof(f81,plain,
! [X0] :
( convergent_lines(X0,sK2)
| ~ convergent_lines(sK1,X0) ),
inference(resolution,[],[f78,f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f48]) ).
fof(f48,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/sandbox2/tmp/tmp.UHh7vJ5KcQ/Vampire---4.8_8024',ax6) ).
fof(f78,plain,
~ convergent_lines(sK1,sK2),
inference(resolution,[],[f62,f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ parallel_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( parallel_lines(X0,X1)
=> ~ convergent_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( parallel_lines(X0,X1)
<=> ~ convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.UHh7vJ5KcQ/Vampire---4.8_8024',a3) ).
fof(f62,plain,
parallel_lines(sK1,sK2),
inference(cnf_transformation,[],[f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO206+3 : TPTP v8.1.2. Bugfixed v4.0.1.
% 0.03/0.12 % 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
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 18:55:41 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.UHh7vJ5KcQ/Vampire---4.8_8024
% 0.60/0.81 % (8138)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)
% 0.60/0.81 % (8139)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)
% 0.60/0.81 % (8141)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)
% 0.60/0.81 % (8137)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)
% 0.60/0.81 % (8136)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81 % (8140)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)
% 0.60/0.81 % (8134)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)
% 0.60/0.81 % (8137)Refutation not found, incomplete strategy% (8137)------------------------------
% 0.60/0.81 % (8137)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (8134)Refutation not found, incomplete strategy% (8134)------------------------------
% 0.60/0.81 % (8134)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (8134)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (8134)Memory used [KB]: 1010
% 0.60/0.81 % (8134)Time elapsed: 0.001 s
% 0.60/0.81 % (8134)Instructions burned: 2 (million)
% 0.60/0.81 % (8134)------------------------------
% 0.60/0.81 % (8134)------------------------------
% 0.60/0.81 % (8137)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (8137)Memory used [KB]: 1010
% 0.60/0.81 % (8137)Time elapsed: 0.002 s
% 0.60/0.81 % (8137)Instructions burned: 2 (million)
% 0.60/0.81 % (8137)------------------------------
% 0.60/0.81 % (8137)------------------------------
% 0.60/0.81 % (8141)First to succeed.
% 0.60/0.81 % (8135)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)
% 0.60/0.81 % (8136)Also succeeded, but the first one will report.
% 0.60/0.81 % (8141)Refutation found. Thanks to Tanya!
% 0.60/0.81 % SZS status Theorem for Vampire---4
% 0.60/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81 % (8141)------------------------------
% 0.60/0.81 % (8141)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (8141)Termination reason: Refutation
% 0.60/0.81
% 0.60/0.81 % (8141)Memory used [KB]: 1107
% 0.60/0.81 % (8141)Time elapsed: 0.003 s
% 0.60/0.81 % (8141)Instructions burned: 3 (million)
% 0.60/0.81 % (8141)------------------------------
% 0.60/0.81 % (8141)------------------------------
% 0.60/0.81 % (8133)Success in time 0.477 s
% 0.60/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------