TSTP Solution File: GEO175+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO175+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 : n011.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 05:15:51 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 67 ( 17 unt; 0 def)
% Number of atoms : 187 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 189 ( 69 ~; 79 |; 28 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 120 ( 108 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f684,plain,
$false,
inference(avatar_sat_refutation,[],[f591,f602,f617,f683]) ).
fof(f683,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f676]) ).
fof(f676,plain,
( $false
| ~ spl5_2 ),
inference(resolution,[],[f662,f94]) ).
fof(f94,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ~ apart_point_and_line(sK0,sK3)
& ~ apart_point_and_line(sK0,sK2)
& distinct_points(sK0,intersection_point(sK2,sK3))
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f53,f92]) ).
fof(f92,plain,
( ? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,intersection_point(X2,X3))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(sK0,sK3)
& ~ apart_point_and_line(sK0,sK2)
& distinct_points(sK0,intersection_point(sK2,sK3))
& convergent_lines(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,intersection_point(X2,X3))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X0,X3)
& ~ apart_point_and_line(X0,X2)
& distinct_points(X0,intersection_point(X2,X3))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
~ ! [X0,X1,X2,X3] :
( ( distinct_points(X0,intersection_point(X2,X3))
& convergent_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( distinct_points(X0,intersection_point(X3,X4))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X3,X4] :
( ( distinct_points(X0,intersection_point(X3,X4))
& convergent_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f662,plain,
( ! [X0,X1] : ~ distinct_points(X0,X1)
| ~ spl5_2 ),
inference(resolution,[],[f650,f645]) ).
fof(f645,plain,
( ! [X0] : ~ distinct_points(X0,sK0)
| ~ spl5_2 ),
inference(resolution,[],[f609,f201]) ).
fof(f201,plain,
! [X0,X1] : ~ apart_point_and_line(X0,X1),
inference(resolution,[],[f146,f180]) ).
fof(f180,plain,
! [X0,X1] : ~ distinct_lines(X0,parallel_through_point(X0,X1)),
inference(resolution,[],[f176,f107]) ).
fof(f107,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,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/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f176,plain,
! [X0,X1] : ~ convergent_lines(X0,parallel_through_point(X0,X1)),
inference(resolution,[],[f166,f139]) ).
fof(f139,plain,
! [X0,X1] : ~ distinct_lines(parallel_through_point(X0,X1),X0),
inference(resolution,[],[f107,f105]) ).
fof(f105,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/sandbox/benchmark/theBenchmark.p',cp1) ).
fof(f166,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X1,X0) ),
inference(resolution,[],[f122,f101]) ).
fof(f101,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart3) ).
fof(f122,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f146,plain,
! [X2,X0,X1] :
( distinct_lines(X0,parallel_through_point(X1,X2))
| ~ apart_point_and_line(X2,X0) ),
inference(resolution,[],[f120,f103]) ).
fof(f103,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp2) ).
fof(f120,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f609,plain,
( ! [X0] :
( apart_point_and_line(X0,sK2)
| ~ distinct_points(X0,sK0) )
| ~ spl5_2 ),
inference(resolution,[],[f581,f201]) ).
fof(f581,plain,
( ! [X0] :
( apart_point_and_line(X0,sK3)
| ~ distinct_points(X0,sK0)
| apart_point_and_line(X0,sK2) )
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f580,plain,
( spl5_2
<=> ! [X0] :
( apart_point_and_line(X0,sK2)
| ~ distinct_points(X0,sK0)
| apart_point_and_line(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f650,plain,
( ! [X0,X1] :
( distinct_points(X0,sK0)
| ~ distinct_points(X0,X1) )
| ~ spl5_2 ),
inference(resolution,[],[f645,f119]) ).
fof(f119,plain,
! [X2,X0,X1] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( distinct_points(X1,X2)
| distinct_points(X0,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X1,X2)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart4) ).
fof(f617,plain,
( ~ spl5_1
| spl5_3 ),
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f612,plain,
( $false
| ~ spl5_1
| spl5_3 ),
inference(resolution,[],[f607,f577]) ).
fof(f577,plain,
( distinct_lines(sK3,sK2)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f576,plain,
( spl5_1
<=> distinct_lines(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f607,plain,
( ~ distinct_lines(sK3,sK2)
| spl5_3 ),
inference(resolution,[],[f594,f107]) ).
fof(f594,plain,
( ~ convergent_lines(sK3,sK2)
| spl5_3 ),
inference(resolution,[],[f590,f166]) ).
fof(f590,plain,
( ~ distinct_lines(sK2,sK3)
| spl5_3 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f588,plain,
( spl5_3
<=> distinct_lines(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f602,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f596]) ).
fof(f596,plain,
( $false
| spl5_1 ),
inference(resolution,[],[f585,f95]) ).
fof(f95,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f93]) ).
fof(f585,plain,
( ~ convergent_lines(sK2,sK3)
| spl5_1 ),
inference(resolution,[],[f578,f166]) ).
fof(f578,plain,
( ~ distinct_lines(sK3,sK2)
| spl5_1 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f591,plain,
( ~ spl5_3
| spl5_2 ),
inference(avatar_split_clause,[],[f391,f580,f588]) ).
fof(f391,plain,
! [X0] :
( apart_point_and_line(X0,sK3)
| apart_point_and_line(X0,sK2)
| ~ distinct_lines(sK2,sK3)
| ~ distinct_points(X0,sK0) ),
inference(resolution,[],[f241,f97]) ).
fof(f97,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f93]) ).
fof(f241,plain,
! [X0,X1] :
( apart_point_and_line(sK0,X0)
| apart_point_and_line(X1,sK3)
| apart_point_and_line(X1,X0)
| ~ distinct_lines(X0,sK3)
| ~ distinct_points(X1,sK0) ),
inference(resolution,[],[f134,f98]) ).
fof(f98,plain,
~ apart_point_and_line(sK0,sK3),
inference(cnf_transformation,[],[f93]) ).
fof(f134,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( ( distinct_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : GEO175+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 22:03:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (18029)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (18034)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (18035)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (18031)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (18036)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)
% 0.13/0.37 % (18033)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (18032)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1,1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [1,2]
% 0.13/0.37 TRYING [2,2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 % (18030)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 TRYING [2,3]
% 0.13/0.37 TRYING [1,1]
% 0.13/0.37 TRYING [1,2]
% 0.13/0.38 TRYING [2,2]
% 0.13/0.38 TRYING [2,4]
% 0.13/0.38 TRYING [2,3]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [3,4]
% 0.13/0.38 TRYING [2,4]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [3,4]
% 0.13/0.38 TRYING [4,4]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [4,4]
% 0.13/0.38 TRYING [5]
% 0.13/0.38 % (18032)First to succeed.
% 0.13/0.38 TRYING [4,5]
% 0.13/0.38 % (18032)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18029"
% 0.13/0.39 TRYING [5]
% 0.13/0.39 % (18032)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (18032)------------------------------
% 0.13/0.39 % (18032)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39 % (18032)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (18032)Memory used [KB]: 1132
% 0.13/0.39 % (18032)Time elapsed: 0.014 s
% 0.13/0.39 % (18032)Instructions burned: 24 (million)
% 0.13/0.39 % (18029)Success in time 0.03 s
%------------------------------------------------------------------------------