TSTP Solution File: GEO087+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO087+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 : n016.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 05:09:13 EDT 2024
% Result : Theorem 0.52s 0.73s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 45 ( 10 unt; 0 def)
% Number of atoms : 187 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 223 ( 81 ~; 63 |; 60 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 106 ( 85 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f227,plain,
$false,
inference(subsumption_resolution,[],[f223,f137]) ).
fof(f137,plain,
! [X0] : inner_point(sK15(X0),X0),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] : inner_point(sK15(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f32,f93]) ).
fof(f93,plain,
! [X0] :
( ? [X1] : inner_point(X1,X0)
=> inner_point(sK15(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0] :
? [X1] : inner_point(X1,X0),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0] :
? [X2] : inner_point(X2,X0),
file('/export/starexec/sandbox2/tmp/tmp.Cc9aP7xcfi/Vampire---4.8_16821',c3) ).
fof(f223,plain,
~ inner_point(sK15(sK0),sK0),
inference(resolution,[],[f215,f133]) ).
fof(f133,plain,
! [X0,X1] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ( inner_point(X0,X1)
| end_point(X0,X1)
| ~ incident_c(X0,X1) )
& ( ( ~ end_point(X0,X1)
& incident_c(X0,X1) )
| ~ inner_point(X0,X1) ) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ( inner_point(X0,X1)
| end_point(X0,X1)
| ~ incident_c(X0,X1) )
& ( ( ~ end_point(X0,X1)
& incident_c(X0,X1) )
| ~ inner_point(X0,X1) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( inner_point(X0,X1)
<=> ( ~ end_point(X0,X1)
& incident_c(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0] :
( inner_point(X2,X0)
<=> ( ~ end_point(X2,X0)
& incident_c(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Cc9aP7xcfi/Vampire---4.8_16821',inner_point_defn) ).
fof(f215,plain,
~ incident_c(sK15(sK0),sK0),
inference(resolution,[],[f165,f95]) ).
fof(f95,plain,
part_of(sK0,sK1),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( meet(sK2,sK0,sK1)
& part_of(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f35,f56,f55]) ).
fof(f55,plain,
( ? [X0,X1] :
( ? [X2] : meet(X2,X0,X1)
& part_of(X0,X1) )
=> ( ? [X2] : meet(X2,sK0,sK1)
& part_of(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
( ? [X2] : meet(X2,sK0,sK1)
=> meet(sK2,sK0,sK1) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0,X1] :
( ? [X2] : meet(X2,X0,X1)
& part_of(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0,X1] :
( part_of(X0,X1)
=> ~ ? [X2] : meet(X2,X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X1,X3] :
( part_of(X1,X3)
=> ~ ? [X2] : meet(X2,X1,X3) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X1,X3] :
( part_of(X1,X3)
=> ~ ? [X2] : meet(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.Cc9aP7xcfi/Vampire---4.8_16821',corollary_2_9) ).
fof(f165,plain,
! [X0] :
( ~ part_of(X0,sK1)
| ~ incident_c(sK15(sK0),X0) ),
inference(resolution,[],[f162,f107]) ).
fof(f107,plain,
! [X3,X0,X1] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1)
| ~ part_of(X1,X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ( ~ incident_c(sK5(X0,X1),X0)
& incident_c(sK5(X0,X1),X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f64,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) )
=> ( ~ incident_c(sK5(X0,X1),X0)
& incident_c(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) )
| ~ part_of(X1,X0) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Cc9aP7xcfi/Vampire---4.8_16821',part_of_defn) ).
fof(f162,plain,
~ incident_c(sK15(sK0),sK1),
inference(resolution,[],[f159,f137]) ).
fof(f159,plain,
! [X0] :
( ~ inner_point(X0,sK0)
| ~ incident_c(X0,sK1) ),
inference(subsumption_resolution,[],[f157,f133]) ).
fof(f157,plain,
! [X0] :
( ~ incident_c(X0,sK0)
| ~ incident_c(X0,sK1)
| ~ inner_point(X0,sK0) ),
inference(resolution,[],[f154,f134]) ).
fof(f134,plain,
! [X0,X1] :
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f154,plain,
! [X0] :
( end_point(X0,sK0)
| ~ incident_c(X0,sK0)
| ~ incident_c(X0,sK1) ),
inference(resolution,[],[f116,f96]) ).
fof(f96,plain,
meet(sK2,sK0,sK1),
inference(cnf_transformation,[],[f57]) ).
fof(f116,plain,
! [X2,X0,X1,X4] :
( ~ meet(X0,X1,X2)
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X1)
| end_point(X4,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ( meet(X0,X1,X2)
| ( ( ~ end_point(sK9(X1,X2),X2)
| ~ end_point(sK9(X1,X2),X1) )
& incident_c(sK9(X1,X2),X2)
& incident_c(sK9(X1,X2),X1) )
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X1) )
& ( ( ! [X4] :
( ( end_point(X4,X2)
& end_point(X4,X1) )
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) )
| ~ meet(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f74,f75]) ).
fof(f75,plain,
! [X1,X2] :
( ? [X3] :
( ( ~ end_point(X3,X2)
| ~ end_point(X3,X1) )
& incident_c(X3,X2)
& incident_c(X3,X1) )
=> ( ( ~ end_point(sK9(X1,X2),X2)
| ~ end_point(sK9(X1,X2),X1) )
& incident_c(sK9(X1,X2),X2)
& incident_c(sK9(X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( meet(X0,X1,X2)
| ? [X3] :
( ( ~ end_point(X3,X2)
| ~ end_point(X3,X1) )
& incident_c(X3,X2)
& incident_c(X3,X1) )
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X1) )
& ( ( ! [X4] :
( ( end_point(X4,X2)
& end_point(X4,X1) )
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) )
| ~ meet(X0,X1,X2) ) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ( meet(X0,X1,X2)
| ? [X3] :
( ( ~ end_point(X3,X2)
| ~ end_point(X3,X1) )
& incident_c(X3,X2)
& incident_c(X3,X1) )
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X1) )
& ( ( ! [X3] :
( ( end_point(X3,X2)
& end_point(X3,X1) )
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) )
| ~ meet(X0,X1,X2) ) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ( meet(X0,X1,X2)
| ? [X3] :
( ( ~ end_point(X3,X2)
| ~ end_point(X3,X1) )
& incident_c(X3,X2)
& incident_c(X3,X1) )
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X1) )
& ( ( ! [X3] :
( ( end_point(X3,X2)
& end_point(X3,X1) )
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) )
| ~ meet(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( meet(X0,X1,X2)
<=> ( ! [X3] :
( ( end_point(X3,X2)
& end_point(X3,X1) )
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) ) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( meet(X0,X1,X2)
<=> ( ! [X3] :
( ( end_point(X3,X2)
& end_point(X3,X1) )
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( meet(X0,X1,X2)
<=> ( ! [X3] :
( ( incident_c(X3,X2)
& incident_c(X3,X1) )
=> ( end_point(X3,X2)
& end_point(X3,X1) ) )
& incident_c(X0,X2)
& incident_c(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( meet(X2,X0,X1)
<=> ( ! [X4] :
( ( incident_c(X4,X1)
& incident_c(X4,X0) )
=> ( end_point(X4,X1)
& end_point(X4,X0) ) )
& incident_c(X2,X1)
& incident_c(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Cc9aP7xcfi/Vampire---4.8_16821',meet_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : GEO087+1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.14 % 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
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 21:54:08 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35 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.Cc9aP7xcfi/Vampire---4.8_16821
% 0.52/0.72 % (16929)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)
% 0.52/0.72 % (16931)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.52/0.72 % (16932)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)
% 0.52/0.72 % (16930)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)
% 0.52/0.72 % (16934)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)
% 0.52/0.72 % (16933)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)
% 0.52/0.72 % (16935)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)
% 0.52/0.72 % (16936)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)
% 0.52/0.73 % (16936)Refutation not found, incomplete strategy% (16936)------------------------------
% 0.52/0.73 % (16936)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.73 % (16936)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.73
% 0.52/0.73 % (16936)Memory used [KB]: 1051
% 0.52/0.73 % (16936)Time elapsed: 0.003 s
% 0.52/0.73 % (16936)Instructions burned: 3 (million)
% 0.52/0.73 % (16936)------------------------------
% 0.52/0.73 % (16936)------------------------------
% 0.52/0.73 % (16933)Refutation not found, incomplete strategy% (16933)------------------------------
% 0.52/0.73 % (16933)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.73 % (16933)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.73
% 0.52/0.73 % (16933)Memory used [KB]: 1081
% 0.52/0.73 % (16933)Time elapsed: 0.004 s
% 0.52/0.73 % (16933)Instructions burned: 6 (million)
% 0.52/0.73 % (16932)Refutation not found, incomplete strategy% (16932)------------------------------
% 0.52/0.73 % (16932)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.73 % (16932)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.73
% 0.52/0.73 % (16932)Memory used [KB]: 1071
% 0.52/0.73 % (16932)Time elapsed: 0.004 s
% 0.52/0.73 % (16932)Instructions burned: 6 (million)
% 0.52/0.73 % (16932)------------------------------
% 0.52/0.73 % (16932)------------------------------
% 0.52/0.73 % (16933)------------------------------
% 0.52/0.73 % (16933)------------------------------
% 0.52/0.73 % (16931)First to succeed.
% 0.52/0.73 % (16931)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16928"
% 0.52/0.73 % (16939)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.52/0.73 % (16938)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.52/0.73 % (16931)Refutation found. Thanks to Tanya!
% 0.52/0.73 % SZS status Theorem for Vampire---4
% 0.52/0.73 % SZS output start Proof for Vampire---4
% See solution above
% 0.52/0.73 % (16931)------------------------------
% 0.52/0.73 % (16931)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.73 % (16931)Termination reason: Refutation
% 0.52/0.73
% 0.52/0.73 % (16931)Memory used [KB]: 1154
% 0.52/0.73 % (16931)Time elapsed: 0.008 s
% 0.52/0.73 % (16931)Instructions burned: 13 (million)
% 0.52/0.73 % (16928)Success in time 0.377 s
% 0.52/0.73 % Vampire---4.8 exiting
%------------------------------------------------------------------------------