TSTP Solution File: GEO255+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO255+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 5 05:16:25 EDT 2024
% Result : Theorem 0.16s 0.36s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 50 ( 17 unt; 0 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 75 ( 23 ~; 23 |; 18 &)
% ( 3 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 81 ( 75 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f789,plain,
$false,
inference(subsumption_resolution,[],[f786,f438]) ).
fof(f438,plain,
~ unequally_directed_lines(sK1,line_connecting(sK2,sK3)),
inference(resolution,[],[f436,f142]) ).
fof(f142,plain,
! [X0,X1] :
( ~ equally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| ~ equally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( equally_directed_lines(X0,X1)
=> ~ unequally_directed_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( equally_directed_lines(X0,X1)
<=> ~ unequally_directed_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_defns) ).
fof(f436,plain,
equally_directed_lines(sK1,line_connecting(sK2,sK3)),
inference(resolution,[],[f159,f120]) ).
fof(f120,plain,
before_on_line(sK1,sK2,sK3),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( before_on_line(sK1,sK3,sK2)
& before_on_line(sK1,sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f76,f116]) ).
fof(f116,plain,
( ? [X0,X1,X2] :
( before_on_line(X0,X2,X1)
& before_on_line(X0,X1,X2) )
=> ( before_on_line(sK1,sK3,sK2)
& before_on_line(sK1,sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
? [X0,X1,X2] :
( before_on_line(X0,X2,X1)
& before_on_line(X0,X1,X2) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0,X1,X2] :
~ ( before_on_line(X0,X2,X1)
& before_on_line(X0,X1,X2) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X3,X2,X5] :
~ ( before_on_line(X3,X5,X2)
& before_on_line(X3,X2,X5) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X3,X2,X5] :
~ ( before_on_line(X3,X5,X2)
& before_on_line(X3,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f159,plain,
! [X2,X0,X1] :
( ~ before_on_line(X0,X1,X2)
| equally_directed_lines(X0,line_connecting(X1,X2)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ( equally_directed_lines(X0,line_connecting(X1,X2))
& distinct_points(X1,X2) )
| ~ before_on_line(X0,X1,X2) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( before_on_line(X0,X1,X2)
=> ( equally_directed_lines(X0,line_connecting(X1,X2))
& distinct_points(X1,X2) ) ),
inference(pure_predicate_removal,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( before_on_line(X0,X1,X2)
=> ( equally_directed_lines(X0,line_connecting(X1,X2))
& incident_point_and_line(X2,X0)
& incident_point_and_line(X1,X0)
& distinct_points(X1,X2) ) ),
inference(unused_predicate_definition_removal,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( before_on_line(X0,X1,X2)
<=> ( equally_directed_lines(X0,line_connecting(X1,X2))
& incident_point_and_line(X2,X0)
& incident_point_and_line(X1,X0)
& distinct_points(X1,X2) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X2,X5] :
( before_on_line(X3,X2,X5)
<=> ( equally_directed_lines(X3,line_connecting(X2,X5))
& incident_point_and_line(X5,X3)
& incident_point_and_line(X2,X3)
& distinct_points(X2,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4_defns) ).
fof(f786,plain,
unequally_directed_lines(sK1,line_connecting(sK2,sK3)),
inference(resolution,[],[f784,f161]) ).
fof(f161,plain,
! [X0] : ~ unequally_directed_lines(X0,X0),
inference(resolution,[],[f142,f124]) ).
fof(f124,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] : equally_directed_lines(X0,X0),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3] : equally_directed_lines(X3,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5_basics) ).
fof(f784,plain,
! [X0] :
( unequally_directed_lines(line_connecting(sK2,sK3),X0)
| unequally_directed_lines(sK1,X0) ),
inference(resolution,[],[f783,f150]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,X2)
| unequally_directed_lines(X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2] :
( unequally_directed_lines(X0,X1)
=> ( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3,X4,X7] :
( unequally_directed_lines(X3,X4)
=> ( unequally_directed_lines(X4,X7)
| unequally_directed_lines(X3,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6_basics) ).
fof(f783,plain,
unequally_directed_lines(line_connecting(sK2,sK3),sK1),
inference(subsumption_resolution,[],[f779,f161]) ).
fof(f779,plain,
( unequally_directed_lines(line_connecting(sK2,sK3),sK1)
| unequally_directed_lines(line_connecting(sK3,sK2),line_connecting(sK3,sK2)) ),
inference(resolution,[],[f545,f439]) ).
fof(f439,plain,
~ unequally_directed_lines(sK1,line_connecting(sK3,sK2)),
inference(resolution,[],[f437,f142]) ).
fof(f437,plain,
equally_directed_lines(sK1,line_connecting(sK3,sK2)),
inference(resolution,[],[f159,f121]) ).
fof(f121,plain,
before_on_line(sK1,sK3,sK2),
inference(cnf_transformation,[],[f117]) ).
fof(f545,plain,
! [X0,X1] :
( unequally_directed_lines(line_connecting(sK2,sK3),X0)
| unequally_directed_lines(line_connecting(sK3,sK2),X1)
| unequally_directed_lines(X0,X1) ),
inference(resolution,[],[f541,f150]) ).
fof(f541,plain,
! [X0] :
( unequally_directed_lines(line_connecting(sK3,sK2),X0)
| unequally_directed_lines(line_connecting(sK2,sK3),X0) ),
inference(resolution,[],[f540,f150]) ).
fof(f540,plain,
unequally_directed_lines(line_connecting(sK2,sK3),line_connecting(sK3,sK2)),
inference(resolution,[],[f538,f129]) ).
fof(f129,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X3,X4] :
( unequally_directed_lines(X3,reverse_line(X4))
| unequally_directed_lines(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8_basics) ).
fof(f538,plain,
~ unequally_directed_lines(line_connecting(sK2,sK3),reverse_line(line_connecting(sK3,sK2))),
inference(resolution,[],[f478,f142]) ).
fof(f478,plain,
equally_directed_lines(line_connecting(sK2,sK3),reverse_line(line_connecting(sK3,sK2))),
inference(resolution,[],[f130,f165]) ).
fof(f165,plain,
distinct_points(sK2,sK3),
inference(resolution,[],[f158,f120]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ before_on_line(X0,X1,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[],[f111]) ).
fof(f130,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| equally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( equally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0)))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( distinct_points(X0,X1)
=> equally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X2,X5] :
( distinct_points(X2,X5)
=> equally_directed_lines(line_connecting(X2,X5),reverse_line(line_connecting(X5,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9_cons_objs) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GEO255+3 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n005.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 22:05:08 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % (2579)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (2581)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33 % (2583)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.33 % (2584)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.33 % (2585)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.33 % (2586)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.33 % (2582)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.16/0.33 % (2580)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.34 TRYING [1]
% 0.16/0.34 TRYING [1,1]
% 0.16/0.34 TRYING [1,1]
% 0.16/0.34 TRYING [2]
% 0.16/0.34 TRYING [2,2]
% 0.16/0.34 TRYING [2,2]
% 0.16/0.34 TRYING [3]
% 0.16/0.34 TRYING [1]
% 0.16/0.34 TRYING [2]
% 0.16/0.34 TRYING [3,2]
% 0.16/0.34 TRYING [3,2]
% 0.16/0.34 TRYING [3]
% 0.16/0.34 TRYING [4,2]
% 0.16/0.34 TRYING [4,2]
% 0.16/0.34 TRYING [4]
% 0.16/0.34 TRYING [4]
% 0.16/0.35 TRYING [5,2]
% 0.16/0.35 TRYING [5,2]
% 0.16/0.35 TRYING [5]
% 0.16/0.35 TRYING [5]
% 0.16/0.35 % (2584)First to succeed.
% 0.16/0.35 % (2584)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2579"
% 0.16/0.35 TRYING [6,2]
% 0.16/0.35 TRYING [6,2]
% 0.16/0.36 % (2584)Refutation found. Thanks to Tanya!
% 0.16/0.36 % SZS status Theorem for theBenchmark
% 0.16/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.36 % (2584)------------------------------
% 0.16/0.36 % (2584)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.36 % (2584)Termination reason: Refutation
% 0.16/0.36
% 0.16/0.36 % (2584)Memory used [KB]: 1031
% 0.16/0.36 % (2584)Time elapsed: 0.022 s
% 0.16/0.36 % (2584)Instructions burned: 47 (million)
% 0.16/0.36 % (2579)Success in time 0.036 s
%------------------------------------------------------------------------------