TSTP Solution File: GEO201+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO201+2 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 : Mon May 20 20:15:12 EDT 2024
% Result : Theorem 0.12s 0.36s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 57 ( 11 unt; 0 def)
% Number of atoms : 153 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 157 ( 61 ~; 75 |; 8 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 80 ( 76 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f244,plain,
$false,
inference(avatar_sat_refutation,[],[f154,f176,f203,f231,f243]) ).
fof(f243,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f241]) ).
fof(f241,plain,
( $false
| ~ spl2_2 ),
inference(resolution,[],[f232,f36]) ).
fof(f36,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( distinct_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0))
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f34]) ).
fof(f34,plain,
( ? [X0,X1] :
( distinct_points(intersection_point(X0,X1),intersection_point(X1,X0))
& convergent_lines(X0,X1) )
=> ( distinct_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0))
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
? [X0,X1] :
( distinct_points(intersection_point(X0,X1),intersection_point(X1,X0))
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ distinct_points(intersection_point(X0,X1),intersection_point(X1,X0)) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ distinct_points(intersection_point(X0,X1),intersection_point(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f232,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl2_2 ),
inference(resolution,[],[f145,f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f44,f40]) ).
fof(f40,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart1) ).
fof(f44,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X1)
& ~ apart_point_and_line(X2,X0) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X1)
| apart_point_and_line(X2,X0) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con2) ).
fof(f145,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK1)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl2_2
<=> apart_point_and_line(intersection_point(sK0,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f231,plain,
~ spl2_4,
inference(avatar_contradiction_clause,[],[f229]) ).
fof(f229,plain,
( $false
| ~ spl2_4 ),
inference(resolution,[],[f214,f36]) ).
fof(f214,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl2_4 ),
inference(resolution,[],[f153,f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f43,f40]) ).
fof(f43,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f153,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl2_4
<=> apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f203,plain,
spl2_3,
inference(avatar_contradiction_clause,[],[f201]) ).
fof(f201,plain,
( $false
| spl2_3 ),
inference(resolution,[],[f190,f36]) ).
fof(f190,plain,
( ~ convergent_lines(sK0,sK1)
| spl2_3 ),
inference(resolution,[],[f149,f41]) ).
fof(f41,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f149,plain,
( ~ distinct_lines(sK0,sK1)
| spl2_3 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl2_3
<=> distinct_lines(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f176,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f174]) ).
fof(f174,plain,
( $false
| spl2_1 ),
inference(resolution,[],[f162,f36]) ).
fof(f162,plain,
( ~ convergent_lines(sK0,sK1)
| spl2_1 ),
inference(resolution,[],[f155,f38]) ).
fof(f38,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).
fof(f155,plain,
( ! [X0] :
( convergent_lines(X0,sK0)
| ~ convergent_lines(X0,sK1) )
| spl2_1 ),
inference(resolution,[],[f141,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart6) ).
fof(f141,plain,
( ~ convergent_lines(sK1,sK0)
| spl2_1 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl2_1
<=> convergent_lines(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f154,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f120,f151,f147,f143,f139]) ).
fof(f120,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ distinct_lines(sK0,sK1)
| apart_point_and_line(intersection_point(sK0,sK1),sK1)
| ~ convergent_lines(sK1,sK0) ),
inference(resolution,[],[f108,f37]) ).
fof(f37,plain,
distinct_points(intersection_point(sK0,sK1),intersection_point(sK1,sK0)),
inference(cnf_transformation,[],[f35]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,intersection_point(X1,X2))
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X1)
| apart_point_and_line(X0,X1)
| ~ convergent_lines(X1,X2) ),
inference(duplicate_literal_removal,[],[f101]) ).
fof(f101,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X1)
| ~ distinct_points(X0,intersection_point(X1,X2))
| ~ convergent_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(resolution,[],[f68,f59]) ).
fof(f68,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(intersection_point(X0,X1),X2)
| apart_point_and_line(X3,X0)
| apart_point_and_line(X3,X2)
| ~ distinct_lines(X2,X0)
| ~ distinct_points(X3,intersection_point(X0,X1))
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f51,f56]) ).
fof(f51,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,[],[f33]) ).
fof(f33,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,[],[f32]) ).
fof(f32,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,[],[f15]) ).
fof(f15,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,[],[f9]) ).
fof(f9,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/sandbox2/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO201+2 : TPTP v8.2.0. Released v3.3.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun May 19 13:41:23 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % (1899)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (1904)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.35 % (1901)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.35 % (1903)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.35 % (1905)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.35 TRYING [1,1]
% 0.12/0.35 % (1902)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)
% 0.12/0.35 TRYING [1,2]
% 0.12/0.35 TRYING [2,2]
% 0.12/0.35 TRYING [1,1]
% 0.12/0.35 % (1906)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)
% 0.12/0.35 TRYING [1,2]
% 0.12/0.35 TRYING [2,3]
% 0.12/0.35 TRYING [2,2]
% 0.12/0.35 TRYING [2,3]
% 0.12/0.35 TRYING [2,4]
% 0.12/0.35 TRYING [1]
% 0.12/0.35 TRYING [2]
% 0.12/0.35 TRYING [2,4]
% 0.12/0.35 TRYING [3]
% 0.12/0.35 TRYING [2,5]
% 0.12/0.35 % (1900)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.35 TRYING [2,5]
% 0.12/0.36 TRYING [4]
% 0.12/0.36 TRYING [2,6]
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2,6]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 % (1902)First to succeed.
% 0.12/0.36 TRYING [3]
% 0.12/0.36 % (1902)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1899"
% 0.12/0.36 TRYING [2,7]
% 0.12/0.36 TRYING [2,7]
% 0.12/0.36 TRYING [4]
% 0.12/0.36 % (1902)Refutation found. Thanks to Tanya!
% 0.12/0.36 % SZS status Theorem for theBenchmark
% 0.12/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.36 % (1902)------------------------------
% 0.12/0.36 % (1902)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36 % (1902)Termination reason: Refutation
% 0.12/0.36
% 0.12/0.36 % (1902)Memory used [KB]: 894
% 0.12/0.36 % (1902)Time elapsed: 0.007 s
% 0.12/0.36 % (1902)Instructions burned: 12 (million)
% 0.12/0.36 % (1899)Success in time 0.021 s
%------------------------------------------------------------------------------