TSTP Solution File: GEO148+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO148+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : Sun May 5 05:09:56 EDT 2024
% Result : Theorem 0.59s 0.76s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 92 ( 6 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 88 ( 31 ~; 17 |; 26 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 96 ( 74 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f118,plain,
$false,
inference(subsumption_resolution,[],[f117,f105]) ).
fof(f105,plain,
once(at_the_same_time(at(sK1,sK0),at(sK2,sK0))),
inference(resolution,[],[f75,f95]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ connect(X0,X1,X2)
| once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1,X2] :
( once(at_the_same_time(at(X0,X2),at(X1,X2)))
| ~ connect(X0,X1,X2) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( connect(X0,X1,X2)
=> once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
inference(unused_predicate_definition_removal,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( connect(X0,X1,X2)
<=> once(at_the_same_time(at(X0,X2),at(X1,X2))) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X11,X12,X2] :
( connect(X11,X12,X2)
<=> once(at_the_same_time(at(X11,X2),at(X12,X2))) ),
file('/export/starexec/sandbox2/tmp/tmp.tJrBv4HcTq/Vampire---4.8_28412',connect_defn) ).
fof(f75,plain,
connect(sK1,sK2,sK0),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( once(at_the_same_time(at(sK1,sK3),at(sK2,sK4)))
& ordered_by(trajectory_of(sK1),sK0,sK3)
& ordered_by(trajectory_of(sK2),sK4,sK0)
& connect(sK1,sK2,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f53,f63,f62]) ).
fof(f62,plain,
( ? [X0,X1,X2] :
( ? [X3,X4] :
( once(at_the_same_time(at(X1,X3),at(X2,X4)))
& ordered_by(trajectory_of(X1),X0,X3)
& ordered_by(trajectory_of(X2),X4,X0) )
& connect(X1,X2,X0) )
=> ( ? [X4,X3] :
( once(at_the_same_time(at(sK1,X3),at(sK2,X4)))
& ordered_by(trajectory_of(sK1),sK0,X3)
& ordered_by(trajectory_of(sK2),X4,sK0) )
& connect(sK1,sK2,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
( ? [X4,X3] :
( once(at_the_same_time(at(sK1,X3),at(sK2,X4)))
& ordered_by(trajectory_of(sK1),sK0,X3)
& ordered_by(trajectory_of(sK2),X4,sK0) )
=> ( once(at_the_same_time(at(sK1,sK3),at(sK2,sK4)))
& ordered_by(trajectory_of(sK1),sK0,sK3)
& ordered_by(trajectory_of(sK2),sK4,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0,X1,X2] :
( ? [X3,X4] :
( once(at_the_same_time(at(X1,X3),at(X2,X4)))
& ordered_by(trajectory_of(X1),X0,X3)
& ordered_by(trajectory_of(X2),X4,X0) )
& connect(X1,X2,X0) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
? [X0,X1,X2] :
( ? [X3,X4] :
( once(at_the_same_time(at(X1,X3),at(X2,X4)))
& ordered_by(trajectory_of(X1),X0,X3)
& ordered_by(trajectory_of(X2),X4,X0) )
& connect(X1,X2,X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0,X1,X2] :
( connect(X1,X2,X0)
=> ! [X3,X4] :
( ( ordered_by(trajectory_of(X1),X0,X3)
& ordered_by(trajectory_of(X2),X4,X0) )
=> ~ once(at_the_same_time(at(X1,X3),at(X2,X4))) ) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X2,X11,X12] :
( connect(X11,X12,X2)
=> ! [X17,X18] :
( ( ordered_by(trajectory_of(X11),X2,X17)
& ordered_by(trajectory_of(X12),X18,X2) )
=> ~ once(at_the_same_time(at(X11,X17),at(X12,X18))) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X2,X11,X12] :
( connect(X11,X12,X2)
=> ! [X17,X18] :
( ( ordered_by(trajectory_of(X11),X2,X17)
& ordered_by(trajectory_of(X12),X18,X2) )
=> ~ once(at_the_same_time(at(X11,X17),at(X12,X18))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tJrBv4HcTq/Vampire---4.8_28412',t14) ).
fof(f117,plain,
~ once(at_the_same_time(at(sK1,sK0),at(sK2,sK0))),
inference(subsumption_resolution,[],[f115,f78]) ).
fof(f78,plain,
once(at_the_same_time(at(sK1,sK3),at(sK2,sK4))),
inference(cnf_transformation,[],[f64]) ).
fof(f115,plain,
( ~ once(at_the_same_time(at(sK1,sK3),at(sK2,sK4)))
| ~ once(at_the_same_time(at(sK1,sK0),at(sK2,sK0))) ),
inference(resolution,[],[f106,f97]) ).
fof(f97,plain,
ordered_by(sK6(sK2),sK4,sK0),
inference(definition_unfolding,[],[f76,f88]) ).
fof(f88,plain,
! [X0] : trajectory_of(X0) = sK6(X0),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] : trajectory_of(X0) = sK6(X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f46,f69]) ).
fof(f69,plain,
! [X0] :
( ? [X1] : trajectory_of(X0) = X1
=> trajectory_of(X0) = sK6(X0) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0] :
? [X1] : trajectory_of(X0) = X1,
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X11] :
? [X8] : trajectory_of(X11) = X8,
file('/export/starexec/sandbox2/tmp/tmp.tJrBv4HcTq/Vampire---4.8_28412',trajectories_are_oriented_curves) ).
fof(f76,plain,
ordered_by(trajectory_of(sK2),sK4,sK0),
inference(cnf_transformation,[],[f64]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ ordered_by(sK6(X0),X1,X2)
| ~ once(at_the_same_time(at(sK1,sK3),at(X0,X1)))
| ~ once(at_the_same_time(at(sK1,sK0),at(X0,X2))) ),
inference(resolution,[],[f96,f98]) ).
fof(f98,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ordered_by(sK6(X5),X3,X1)
| ~ ordered_by(sK6(X4),X0,X2)
| ~ once(at_the_same_time(at(X4,X2),at(X5,X3)))
| ~ once(at_the_same_time(at(X4,X0),at(X5,X1))) ),
inference(definition_unfolding,[],[f87,f88,f88]) ).
fof(f87,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ordered_by(trajectory_of(X5),X3,X1)
| ~ ordered_by(trajectory_of(X4),X0,X2)
| ~ once(at_the_same_time(at(X4,X2),at(X5,X3)))
| ~ once(at_the_same_time(at(X4,X0),at(X5,X1))) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ordered_by(trajectory_of(X5),X3,X1)
| ~ ordered_by(trajectory_of(X4),X0,X2)
| ~ once(at_the_same_time(at(X4,X2),at(X5,X3)))
| ~ once(at_the_same_time(at(X4,X0),at(X5,X1))) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ordered_by(trajectory_of(X5),X3,X1)
| ~ ordered_by(trajectory_of(X4),X0,X2)
| ~ once(at_the_same_time(at(X4,X2),at(X5,X3)))
| ~ once(at_the_same_time(at(X4,X0),at(X5,X1))) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( once(at_the_same_time(at(X4,X2),at(X5,X3)))
& once(at_the_same_time(at(X4,X0),at(X5,X1))) )
=> ~ ( ordered_by(trajectory_of(X5),X3,X1)
& ordered_by(trajectory_of(X4),X0,X2) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X15,X16,X17,X18,X11,X12] :
( ( once(at_the_same_time(at(X11,X17),at(X12,X18)))
& once(at_the_same_time(at(X11,X15),at(X12,X16))) )
=> ~ ( ordered_by(trajectory_of(X12),X18,X16)
& ordered_by(trajectory_of(X11),X15,X17) ) ),
file('/export/starexec/sandbox2/tmp/tmp.tJrBv4HcTq/Vampire---4.8_28412',homogeneous_behaviour) ).
fof(f96,plain,
ordered_by(sK6(sK1),sK0,sK3),
inference(definition_unfolding,[],[f77,f88]) ).
fof(f77,plain,
ordered_by(trajectory_of(sK1),sK0,sK3),
inference(cnf_transformation,[],[f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO148+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.14 % 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 : 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 : Fri May 3 22:04:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ 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.tJrBv4HcTq/Vampire---4.8_28412
% 0.59/0.75 % (28742)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 (2996ds/56Mi)
% 0.59/0.75 % (28735)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)
% 0.59/0.75 % (28739)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)
% 0.59/0.75 % (28738)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)
% 0.59/0.75 % (28736)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)
% 0.59/0.75 % (28737)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75 % (28740)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.75 % (28741)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)
% 0.59/0.75 % (28742)First to succeed.
% 0.59/0.75 % (28742)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28581"
% 0.59/0.76 % (28742)Refutation found. Thanks to Tanya!
% 0.59/0.76 % SZS status Theorem for Vampire---4
% 0.59/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76 % (28742)------------------------------
% 0.59/0.76 % (28742)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (28742)Termination reason: Refutation
% 0.59/0.76
% 0.59/0.76 % (28742)Memory used [KB]: 1091
% 0.59/0.76 % (28742)Time elapsed: 0.003 s
% 0.59/0.76 % (28742)Instructions burned: 5 (million)
% 0.59/0.76 % (28581)Success in time 0.394 s
% 0.59/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------