TSTP Solution File: GEO252+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO252+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 : 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 : Sun May 5 05:16:24 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 45 ( 17 ~; 7 |; 17 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 17 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f158,plain,
$false,
inference(resolution,[],[f144,f117]) ).
fof(f117,plain,
left_apart_point(sK1,sK3),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( ( ~ left_convergent_lines(line_connecting(sK1,sK2),sK3)
| ~ distinct_points(sK1,sK2) )
& right_apart_point(sK2,sK3)
& left_apart_point(sK1,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f74,f112]) ).
fof(f112,plain,
( ? [X0,X1,X2] :
( ( ~ left_convergent_lines(line_connecting(X0,X1),X2)
| ~ distinct_points(X0,X1) )
& right_apart_point(X1,X2)
& left_apart_point(X0,X2) )
=> ( ( ~ left_convergent_lines(line_connecting(sK1,sK2),sK3)
| ~ distinct_points(sK1,sK2) )
& right_apart_point(sK2,sK3)
& left_apart_point(sK1,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
? [X0,X1,X2] :
( ( ~ left_convergent_lines(line_connecting(X0,X1),X2)
| ~ distinct_points(X0,X1) )
& right_apart_point(X1,X2)
& left_apart_point(X0,X2) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
? [X0,X1,X2] :
( ( ~ left_convergent_lines(line_connecting(X0,X1),X2)
| ~ distinct_points(X0,X1) )
& right_apart_point(X1,X2)
& left_apart_point(X0,X2) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
~ ! [X0,X1,X2] :
( ( right_apart_point(X1,X2)
& left_apart_point(X0,X2) )
=> ( left_convergent_lines(line_connecting(X0,X1),X2)
& distinct_points(X0,X1) ) ),
inference(rectify,[],[f38]) ).
fof(f38,negated_conjecture,
~ ! [X2,X5,X3] :
( ( right_apart_point(X5,X3)
& left_apart_point(X2,X3) )
=> ( left_convergent_lines(line_connecting(X2,X5),X3)
& distinct_points(X2,X5) ) ),
inference(negated_conjecture,[],[f37]) ).
fof(f37,conjecture,
! [X2,X5,X3] :
( ( right_apart_point(X5,X3)
& left_apart_point(X2,X3) )
=> ( left_convergent_lines(line_connecting(X2,X5),X3)
& distinct_points(X2,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f144,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X2,X3] :
~ ( left_apart_point(X2,reverse_line(X3))
| left_apart_point(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10_basics) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO252+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n014.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 22:07:23 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % (12123)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (12124)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (12127)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 % (12130)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)
% 0.13/0.38 % (12128)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.38 % (12126)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)
% 0.13/0.38 % (12125)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.38 % (12129)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.38 % (12128)First to succeed.
% 0.13/0.38 % (12128)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12123"
% 0.13/0.38 % (12129)Also succeeded, but the first one will report.
% 0.13/0.38 % (12126)Also succeeded, but the first one will report.
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 % (12124)Also succeeded, but the first one will report.
% 0.13/0.38 % (12130)Also succeeded, but the first one will report.
% 0.13/0.38 % (12128)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (12128)------------------------------
% 0.13/0.38 % (12128)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (12128)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (12128)Memory used [KB]: 832
% 0.13/0.38 % (12128)Time elapsed: 0.003 s
% 0.13/0.38 % (12128)Instructions burned: 3 (million)
% 0.13/0.38 % (12123)Success in time 0.019 s
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