TSTP Solution File: GEO202+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO202+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 : n019.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 05:16:05 EDT 2024
% Result : Theorem 1.49s 0.60s
% Output : Refutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 67 ( 16 unt; 0 def)
% Number of atoms : 180 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 180 ( 67 ~; 78 |; 21 &)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 129 ( 120 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7029,plain,
$false,
inference(avatar_sat_refutation,[],[f6956,f6991,f7025,f7028]) ).
fof(f7028,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f7027]) ).
fof(f7027,plain,
( $false
| ~ spl4_1 ),
inference(resolution,[],[f6947,f161]) ).
fof(f161,plain,
! [X0,X1] : ~ apart_point_and_line(X0,X1),
inference(resolution,[],[f158,f99]) ).
fof(f99,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart2) ).
fof(f158,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(resolution,[],[f146,f143]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,parallel_through_point(X1,X2))
| distinct_lines(X0,X1) ),
inference(resolution,[],[f118,f140]) ).
fof(f140,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/sandbox2/benchmark/theBenchmark.p',cp1) ).
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/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f118,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| distinct_lines(X0,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| distinct_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart5) ).
fof(f146,plain,
! [X2,X0,X1] :
( distinct_lines(X0,parallel_through_point(X1,X2))
| ~ apart_point_and_line(X2,X0) ),
inference(resolution,[],[f121,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/sandbox2/benchmark/theBenchmark.p',cp2) ).
fof(f121,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f75]) ).
fof(f75,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/sandbox2/benchmark/theBenchmark.p',ceq2) ).
fof(f6947,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK2))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f6945]) ).
fof(f6945,plain,
( spl4_1
<=> apart_point_and_line(sK0,line_connecting(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f7025,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f7024]) ).
fof(f7024,plain,
( $false
| ~ spl4_3 ),
inference(resolution,[],[f6955,f161]) ).
fof(f6955,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK2))
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f6953]) ).
fof(f6953,plain,
( spl4_3
<=> apart_point_and_line(sK1,line_connecting(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f6991,plain,
spl4_2,
inference(avatar_contradiction_clause,[],[f6989]) ).
fof(f6989,plain,
( $false
| spl4_2 ),
inference(resolution,[],[f6951,f95]) ).
fof(f95,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ~ equal_points(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),sK0)
& convergent_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
& distinct_points(sK0,sK2)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f53,f93]) ).
fof(f93,plain,
( ? [X0,X1,X2] :
( ~ equal_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0)
& convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> ( ~ equal_points(intersection_point(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),sK0)
& convergent_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2))
& distinct_points(sK0,sK2)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0,X1,X2] :
( ~ equal_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0)
& convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
? [X0,X1,X2] :
( ~ equal_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0)
& convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> equal_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0) ),
inference(negated_conjecture,[],[f36]) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( convergent_lines(line_connecting(X0,X1),line_connecting(X0,X2))
& distinct_points(X0,X2)
& distinct_points(X0,X1) )
=> equal_points(intersection_point(line_connecting(X0,X1),line_connecting(X0,X2)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f6951,plain,
( ~ distinct_points(sK0,sK1)
| spl4_2 ),
inference(avatar_component_clause,[],[f6949]) ).
fof(f6949,plain,
( spl4_2
<=> distinct_points(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f6956,plain,
( spl4_1
| ~ spl4_2
| spl4_3 ),
inference(avatar_split_clause,[],[f2661,f6953,f6949,f6945]) ).
fof(f2661,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK2))
| ~ distinct_points(sK0,sK1)
| apart_point_and_line(sK0,line_connecting(sK0,sK2)) ),
inference(resolution,[],[f712,f97]) ).
fof(f97,plain,
convergent_lines(line_connecting(sK0,sK1),line_connecting(sK0,sK2)),
inference(cnf_transformation,[],[f94]) ).
fof(f712,plain,
! [X2,X0,X1] :
( ~ convergent_lines(line_connecting(X0,X2),X1)
| apart_point_and_line(X2,X1)
| ~ distinct_points(X0,X2)
| apart_point_and_line(X0,X1) ),
inference(resolution,[],[f477,f164]) ).
fof(f164,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X1,X0) ),
inference(resolution,[],[f123,f101]) ).
fof(f101,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(f123,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f79]) ).
fof(f79,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/sandbox2/benchmark/theBenchmark.p',ceq3) ).
fof(f477,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,line_connecting(X2,X0))
| apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X1)
| ~ distinct_points(X2,X0) ),
inference(duplicate_literal_removal,[],[f473]) ).
fof(f473,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| ~ distinct_lines(X1,line_connecting(X2,X0))
| ~ distinct_points(X2,X0)
| ~ distinct_points(X2,X0)
| ~ distinct_points(X2,X0) ),
inference(resolution,[],[f262,f109]) ).
fof(f109,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci1) ).
fof(f262,plain,
! [X2,X3,X0,X1] :
( apart_point_and_line(X2,line_connecting(X3,X0))
| apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| ~ distinct_lines(X1,line_connecting(X3,X0))
| ~ distinct_points(X2,X0)
| ~ distinct_points(X3,X0) ),
inference(resolution,[],[f135,f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ci2) ).
fof(f135,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,[],[f92]) ).
fof(f92,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,[],[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(ennf_transformation,[],[f50]) ).
fof(f50,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/sandbox2/benchmark/theBenchmark.p',cu1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO202+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 21:53:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (23410)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (23411)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (23412)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (23413)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 % (23415)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (23414)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 % (23416)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (23417)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 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [4]
% 0.14/0.37 TRYING [4]
% 0.14/0.37 TRYING [4]
% 0.14/0.37 TRYING [4]
% 0.20/0.38 TRYING [5]
% 0.20/0.38 TRYING [5]
% 0.20/0.38 TRYING [5]
% 0.20/0.38 TRYING [5]
% 0.20/0.39 TRYING [6]
% 0.20/0.39 TRYING [6]
% 0.20/0.39 TRYING [6]
% 0.20/0.40 TRYING [6]
% 0.20/0.41 TRYING [7]
% 0.20/0.41 TRYING [7]
% 0.20/0.41 TRYING [7]
% 0.20/0.43 TRYING [7]
% 0.20/0.45 TRYING [8]
% 0.20/0.45 TRYING [8]
% 0.20/0.46 TRYING [8]
% 0.20/0.48 TRYING [8]
% 0.20/0.50 TRYING [9]
% 0.20/0.51 TRYING [9]
% 0.20/0.51 TRYING [9]
% 1.49/0.55 TRYING [9]
% 1.49/0.57 TRYING [10]
% 1.49/0.57 TRYING [10]
% 1.49/0.59 TRYING [10]
% 1.49/0.60 % (23413)First to succeed.
% 1.49/0.60 % (23413)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23410"
% 1.49/0.60 % (23413)Refutation found. Thanks to Tanya!
% 1.49/0.60 % SZS status Theorem for theBenchmark
% 1.49/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.61 % (23413)------------------------------
% 1.49/0.61 % (23413)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.49/0.61 % (23413)Termination reason: Refutation
% 1.49/0.61
% 1.49/0.61 % (23413)Memory used [KB]: 3287
% 1.49/0.61 % (23413)Time elapsed: 0.238 s
% 1.49/0.61 % (23413)Instructions burned: 662 (million)
% 1.49/0.61 % (23410)Success in time 0.244 s
%------------------------------------------------------------------------------