TSTP Solution File: GEO199+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO199+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 : Tue Apr 30 11:14:39 EDT 2024
% Result : Theorem 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 69 ( 11 unt; 0 def)
% Number of atoms : 213 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 229 ( 85 ~; 99 |; 30 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 104 ( 95 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1511,plain,
$false,
inference(avatar_sat_refutation,[],[f102,f160,f1063,f1101,f1486,f1510]) ).
fof(f1510,plain,
spl3_42,
inference(avatar_contradiction_clause,[],[f1491]) ).
fof(f1491,plain,
( $false
| spl3_42 ),
inference(resolution,[],[f1485,f41]) ).
fof(f41,plain,
apart_point_and_line(intersection_point(sK1,sK0),sK2),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( apart_point_and_line(intersection_point(sK1,sK0),sK2)
& ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK0,sK2)
& convergent_lines(sK2,sK1)
& convergent_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f35]) ).
fof(f35,plain,
( ? [X0,X1,X2] :
( apart_point_and_line(intersection_point(X1,X0),X2)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ( apart_point_and_line(intersection_point(sK1,sK0),sK2)
& ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
& convergent_lines(sK0,sK2)
& convergent_lines(sK2,sK1)
& convergent_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0,X1,X2] :
( apart_point_and_line(intersection_point(X1,X0),X2)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
? [X0,X1,X2] :
( apart_point_and_line(intersection_point(X1,X0),X2)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ~ apart_point_and_line(intersection_point(X1,X0),X2) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X2)
& convergent_lines(X2,X1)
& convergent_lines(X0,X1) )
=> ~ apart_point_and_line(intersection_point(X1,X0),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f1485,plain,
( ~ apart_point_and_line(intersection_point(sK1,sK0),sK2)
| spl3_42 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f1483,plain,
( spl3_42
<=> apart_point_and_line(intersection_point(sK1,sK0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_42])]) ).
fof(f1486,plain,
( ~ spl3_1
| ~ spl3_42
| ~ spl3_30 ),
inference(avatar_split_clause,[],[f1481,f1061,f1483,f81]) ).
fof(f81,plain,
( spl3_1
<=> convergent_lines(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f1061,plain,
( spl3_30
<=> ! [X0] :
( apart_point_and_line(X0,sK1)
| ~ apart_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).
fof(f1481,plain,
( ~ apart_point_and_line(intersection_point(sK1,sK0),sK2)
| ~ convergent_lines(sK1,sK0)
| ~ spl3_30 ),
inference(duplicate_literal_removal,[],[f1474]) ).
fof(f1474,plain,
( ~ apart_point_and_line(intersection_point(sK1,sK0),sK2)
| ~ convergent_lines(sK1,sK0)
| ~ convergent_lines(sK1,sK0)
| ~ spl3_30 ),
inference(resolution,[],[f1133,f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f49,f44]) ).
fof(f44,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(f49,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,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,[],[f23]) ).
fof(f23,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(f1133,plain,
( ! [X0] :
( apart_point_and_line(intersection_point(sK1,X0),sK0)
| ~ apart_point_and_line(intersection_point(sK1,X0),sK2)
| ~ convergent_lines(sK1,X0) )
| ~ spl3_30 ),
inference(resolution,[],[f1062,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(resolution,[],[f48,f44]) ).
fof(f48,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f1062,plain,
( ! [X0] :
( apart_point_and_line(X0,sK1)
| ~ apart_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK0) )
| ~ spl3_30 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f1101,plain,
( ~ spl3_1
| spl3_29 ),
inference(avatar_contradiction_clause,[],[f1099]) ).
fof(f1099,plain,
( $false
| ~ spl3_1
| spl3_29 ),
inference(resolution,[],[f1088,f82]) ).
fof(f82,plain,
( convergent_lines(sK1,sK0)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f1088,plain,
( ~ convergent_lines(sK1,sK0)
| spl3_29 ),
inference(resolution,[],[f1059,f45]) ).
fof(f45,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,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(f1059,plain,
( ~ distinct_lines(sK1,sK0)
| spl3_29 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f1057,plain,
( spl3_29
<=> distinct_lines(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).
fof(f1063,plain,
( ~ spl3_4
| ~ spl3_29
| spl3_30 ),
inference(avatar_split_clause,[],[f772,f1061,f1057,f147]) ).
fof(f147,plain,
( spl3_4
<=> convergent_lines(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f772,plain,
! [X0] :
( apart_point_and_line(X0,sK1)
| ~ distinct_lines(sK1,sK0)
| apart_point_and_line(X0,sK0)
| ~ convergent_lines(sK0,sK1)
| ~ apart_point_and_line(X0,sK2) ),
inference(resolution,[],[f271,f61]) ).
fof(f61,plain,
! [X0] :
( distinct_points(X0,intersection_point(sK0,sK1))
| ~ apart_point_and_line(X0,sK2) ),
inference(resolution,[],[f54,f40]) ).
fof(f40,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f36]) ).
fof(f54,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( apart_point_and_line(X2,X1)
| distinct_points(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ceq1) ).
fof(f271,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,[],[f264]) ).
fof(f264,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,[],[f91,f68]) ).
fof(f91,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,[],[f55,f65]) ).
fof(f55,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,[],[f34]) ).
fof(f34,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,[],[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(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) ).
fof(f160,plain,
spl3_4,
inference(avatar_contradiction_clause,[],[f158]) ).
fof(f158,plain,
( $false
| spl3_4 ),
inference(resolution,[],[f149,f37]) ).
fof(f37,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f149,plain,
( ~ convergent_lines(sK0,sK1)
| spl3_4 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f102,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f100]) ).
fof(f100,plain,
( $false
| spl3_1 ),
inference(resolution,[],[f98,f37]) ).
fof(f98,plain,
( ~ convergent_lines(sK0,sK1)
| spl3_1 ),
inference(resolution,[],[f96,f43]) ).
fof(f43,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(f96,plain,
( ! [X0] :
( convergent_lines(X0,sK0)
| ~ convergent_lines(X0,sK1) )
| spl3_1 ),
inference(resolution,[],[f83,f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f21]) ).
fof(f21,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(f83,plain,
( ~ convergent_lines(sK1,sK0)
| spl3_1 ),
inference(avatar_component_clause,[],[f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO199+2 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n018.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 : Tue Apr 30 05:55:58 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (12575)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (12577)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (12579)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)
% 0.14/0.37 % (12581)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (12580)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (12578)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (12583)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)
% 0.14/0.37 % (12582)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1,1]
% 0.14/0.37 TRYING [1,1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [2,2]
% 0.14/0.37 TRYING [2,2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3,3]
% 0.14/0.37 TRYING [3,3]
% 0.14/0.37 TRYING [4]
% 0.14/0.37 TRYING [4]
% 0.14/0.37 TRYING [3,4]
% 0.14/0.37 TRYING [3,4]
% 0.21/0.38 TRYING [5]
% 0.21/0.38 TRYING [3,5]
% 0.21/0.38 TRYING [3,5]
% 0.21/0.38 TRYING [5]
% 0.21/0.38 TRYING [3,6]
% 0.21/0.38 TRYING [3,6]
% 0.21/0.38 TRYING [6]
% 0.21/0.38 TRYING [3,7]
% 0.21/0.38 TRYING [3,7]
% 0.21/0.39 TRYING [6]
% 0.21/0.39 TRYING [3,8]
% 0.21/0.39 TRYING [3,8]
% 0.21/0.39 TRYING [7]
% 0.21/0.40 TRYING [3,9]
% 0.21/0.40 TRYING [3,9]
% 0.21/0.40 TRYING [7]
% 0.21/0.41 % (12579)First to succeed.
% 0.21/0.41 % (12579)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Theorem for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.41 % (12579)------------------------------
% 0.21/0.41 % (12579)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.41 % (12579)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (12579)Memory used [KB]: 1368
% 0.21/0.41 % (12579)Time elapsed: 0.042 s
% 0.21/0.41 % (12579)Instructions burned: 73 (million)
% 0.21/0.41 % (12579)------------------------------
% 0.21/0.41 % (12579)------------------------------
% 0.21/0.41 % (12575)Success in time 0.058 s
%------------------------------------------------------------------------------