TSTP Solution File: GEO221+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO221+1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n002.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 02:23:05 EDT 2024
% Result : Theorem 0.61s 0.79s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 10 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 58 ( 24 ~; 24 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 52 ( 46 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f82,plain,
$false,
inference(subsumption_resolution,[],[f80,f56]) ).
fof(f56,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X8,X5] : ~ unorthogonal_lines(orthogonal_through_point(X5,X8),X5),
file('/export/starexec/sandbox2/tmp/tmp.okIsAP5d5G/Vampire---4.8_16448',ooc1) ).
fof(f80,plain,
unorthogonal_lines(orthogonal_through_point(sK2,sK0),sK2),
inference(resolution,[],[f76,f56]) ).
fof(f76,plain,
! [X0] :
( unorthogonal_lines(orthogonal_through_point(sK2,sK1),X0)
| unorthogonal_lines(orthogonal_through_point(sK2,sK0),X0) ),
inference(resolution,[],[f70,f49]) ).
fof(f49,plain,
distinct_lines(orthogonal_through_point(sK2,sK0),orthogonal_through_point(sK2,sK1)),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( distinct_lines(orthogonal_through_point(sK2,sK0),orthogonal_through_point(sK2,sK1))
& ~ apart_point_and_line(sK1,orthogonal_through_point(sK2,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f31,f46]) ).
fof(f46,plain,
( ? [X0,X1,X2] :
( distinct_lines(orthogonal_through_point(X2,X0),orthogonal_through_point(X2,X1))
& ~ apart_point_and_line(X1,orthogonal_through_point(X2,X0)) )
=> ( distinct_lines(orthogonal_through_point(sK2,sK0),orthogonal_through_point(sK2,sK1))
& ~ apart_point_and_line(sK1,orthogonal_through_point(sK2,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0,X1,X2] :
( distinct_lines(orthogonal_through_point(X2,X0),orthogonal_through_point(X2,X1))
& ~ apart_point_and_line(X1,orthogonal_through_point(X2,X0)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
~ ! [X0,X1,X2] :
( ~ apart_point_and_line(X1,orthogonal_through_point(X2,X0))
=> ~ distinct_lines(orthogonal_through_point(X2,X0),orthogonal_through_point(X2,X1)) ),
inference(rectify,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X8,X9,X5] :
( ~ apart_point_and_line(X9,orthogonal_through_point(X5,X8))
=> ~ distinct_lines(orthogonal_through_point(X5,X8),orthogonal_through_point(X5,X9)) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X8,X9,X5] :
( ~ apart_point_and_line(X9,orthogonal_through_point(X5,X8))
=> ~ distinct_lines(orthogonal_through_point(X5,X8),orthogonal_through_point(X5,X9)) ),
file('/export/starexec/sandbox2/tmp/tmp.okIsAP5d5G/Vampire---4.8_16448',con) ).
fof(f70,plain,
! [X0,X1] :
( ~ distinct_lines(orthogonal_through_point(sK2,sK0),orthogonal_through_point(X1,sK1))
| unorthogonal_lines(orthogonal_through_point(X1,sK1),X0)
| unorthogonal_lines(orthogonal_through_point(sK2,sK0),X0) ),
inference(resolution,[],[f65,f55]) ).
fof(f55,plain,
! [X0,X1] : ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] : ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X8,X5] : ~ apart_point_and_line(X8,orthogonal_through_point(X5,X8)),
file('/export/starexec/sandbox2/tmp/tmp.okIsAP5d5G/Vampire---4.8_16448',ooc2) ).
fof(f65,plain,
! [X0,X1] :
( apart_point_and_line(sK1,X1)
| unorthogonal_lines(orthogonal_through_point(sK2,sK0),X0)
| unorthogonal_lines(X1,X0)
| ~ distinct_lines(orthogonal_through_point(sK2,sK0),X1) ),
inference(resolution,[],[f48,f59]) ).
fof(f59,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X0,X1)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| unorthogonal_lines(X2,X3)
| ~ distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X8,X5,X6,X7] :
( distinct_lines(X5,X6)
=> ( unorthogonal_lines(X6,X7)
| unorthogonal_lines(X5,X7)
| apart_point_and_line(X8,X6)
| apart_point_and_line(X8,X5) ) ),
file('/export/starexec/sandbox2/tmp/tmp.okIsAP5d5G/Vampire---4.8_16448',ouo1) ).
fof(f48,plain,
~ apart_point_and_line(sK1,orthogonal_through_point(sK2,sK0)),
inference(cnf_transformation,[],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : GEO221+1 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.15 % 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 : n002.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 : Tue Apr 30 19:12:25 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.14/0.36 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.okIsAP5d5G/Vampire---4.8_16448
% 0.61/0.79 % (16636)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)
% 0.61/0.79 % (16640)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)
% 0.61/0.79 % (16636)Refutation not found, incomplete strategy% (16636)------------------------------
% 0.61/0.79 % (16636)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (16636)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79
% 0.61/0.79 % (16640)First to succeed.
% 0.61/0.79 % (16636)Memory used [KB]: 996
% 0.61/0.79 % (16636)Time elapsed: 0.002 s
% 0.61/0.79 % (16636)Instructions burned: 2 (million)
% 0.61/0.79 % (16636)------------------------------
% 0.61/0.79 % (16636)------------------------------
% 0.61/0.79 % (16635)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.79 % (16633)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)
% 0.61/0.79 % (16634)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)
% 0.61/0.79 % (16637)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)
% 0.61/0.79 % (16638)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)
% 0.61/0.79 % (16639)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)
% 0.61/0.79 % (16640)Refutation found. Thanks to Tanya!
% 0.61/0.79 % SZS status Theorem for Vampire---4
% 0.61/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.79 % (16640)------------------------------
% 0.61/0.79 % (16640)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (16640)Termination reason: Refutation
% 0.61/0.79
% 0.61/0.79 % (16640)Memory used [KB]: 1073
% 0.61/0.79 % (16640)Time elapsed: 0.002 s
% 0.61/0.79 % (16640)Instructions burned: 4 (million)
% 0.61/0.79 % (16640)------------------------------
% 0.61/0.79 % (16640)------------------------------
% 0.61/0.79 % (16593)Success in time 0.429 s
% 0.61/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------