TSTP Solution File: GEO185+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO185+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 : n004.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 11:14:32 EDT 2024
% Result : Theorem 0.11s 0.34s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 4 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 93 ( 36 ~; 22 |; 26 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 39 ( 27 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f97,plain,
$false,
inference(avatar_sat_refutation,[],[f64,f85,f91,f96]) ).
fof(f96,plain,
spl4_3,
inference(avatar_contradiction_clause,[],[f94]) ).
fof(f94,plain,
( $false
| spl4_3 ),
inference(resolution,[],[f84,f39]) ).
fof(f39,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f37]) ).
fof(f37,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])],[f18,f36]) ).
fof(f36,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(f18,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,[],[f17]) ).
fof(f17,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,[],[f15]) ).
fof(f15,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,[],[f14]) ).
fof(f14,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,[],[f13]) ).
fof(f13,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/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f84,plain,
( ~ convergent_lines(sK2,sK3)
| spl4_3 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl4_3
<=> convergent_lines(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f91,plain,
( ~ spl4_3
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f90,f61,f82]) ).
fof(f61,plain,
( spl4_2
<=> apart_point_and_line(sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f90,plain,
( ~ apart_point_and_line(sK0,sK3)
| ~ convergent_lines(sK2,sK3) ),
inference(resolution,[],[f48,f40]) ).
fof(f40,plain,
~ distinct_points(sK0,intersection_point(sK2,sK3)),
inference(cnf_transformation,[],[f37]) ).
fof(f48,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[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(flattening,[],[f22]) ).
fof(f22,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(f85,plain,
( ~ spl4_3
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f80,f57,f82]) ).
fof(f57,plain,
( spl4_1
<=> apart_point_and_line(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f80,plain,
( ~ apart_point_and_line(sK0,sK2)
| ~ convergent_lines(sK2,sK3) ),
inference(resolution,[],[f47,f40]) ).
fof(f47,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f64,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f41,f61,f57]) ).
fof(f41,plain,
( apart_point_and_line(sK0,sK3)
| apart_point_and_line(sK0,sK2) ),
inference(cnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO185+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 05:45:18 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (22349)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (22352)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)
% 0.11/0.34 % (22350)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34 % (22355)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.34 % (22351)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (22356)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)
% 0.11/0.34 % (22354)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.34 % (22353)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [1,1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [1,1]
% 0.11/0.34 TRYING [1,2]
% 0.11/0.34 TRYING [1,2]
% 0.11/0.34 % (22352)First to succeed.
% 0.11/0.34 TRYING [3]
% 0.11/0.34 TRYING [2,2]
% 0.11/0.34 TRYING [3]
% 0.11/0.34 TRYING [2,2]
% 0.11/0.34 TRYING [2,3]
% 0.11/0.34 TRYING [2,3]
% 0.11/0.34 % (22355)Also succeeded, but the first one will report.
% 0.11/0.34 TRYING [4]
% 0.11/0.34 TRYING [2,4]
% 0.11/0.34 TRYING [2,4]
% 0.11/0.34 TRYING [4]
% 0.11/0.34 % (22352)Refutation found. Thanks to Tanya!
% 0.11/0.34 % SZS status Theorem for theBenchmark
% 0.11/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.34 % (22352)------------------------------
% 0.11/0.34 % (22352)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.34 % (22352)Termination reason: Refutation
% 0.11/0.34
% 0.11/0.34 % (22352)Memory used [KB]: 842
% 0.11/0.34 % (22352)Time elapsed: 0.004 s
% 0.11/0.34 % (22352)Instructions burned: 4 (million)
% 0.11/0.34 % (22352)------------------------------
% 0.11/0.34 % (22352)------------------------------
% 0.11/0.34 % (22349)Success in time 0.019 s
%------------------------------------------------------------------------------