TSTP Solution File: GEO246+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO246+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.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 05:16:22 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 30 ( 11 ~; 1 |; 11 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 15 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f138,plain,
$false,
inference(resolution,[],[f101,f124]) ).
fof(f124,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ left_apart_point(X0,reverse_line(X1))
& ~ left_apart_point(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag10) ).
fof(f101,plain,
left_apart_point(sK2,reverse_line(line_connecting(sK0,sK1))),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ~ left_apart_point(sK1,line_connecting(sK0,sK2))
& left_apart_point(sK2,reverse_line(line_connecting(sK0,sK1)))
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f62,f98]) ).
fof(f98,plain,
( ? [X0,X1,X2] :
( ~ left_apart_point(X1,line_connecting(X0,X2))
& left_apart_point(X2,reverse_line(line_connecting(X0,X1)))
& distinct_points(X0,X1) )
=> ( ~ left_apart_point(sK1,line_connecting(sK0,sK2))
& left_apart_point(sK2,reverse_line(line_connecting(sK0,sK1)))
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
? [X0,X1,X2] :
( ~ left_apart_point(X1,line_connecting(X0,X2))
& left_apart_point(X2,reverse_line(line_connecting(X0,X1)))
& distinct_points(X0,X1) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
? [X0,X1,X2] :
( ~ left_apart_point(X1,line_connecting(X0,X2))
& left_apart_point(X2,reverse_line(line_connecting(X0,X1)))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( left_apart_point(X2,reverse_line(line_connecting(X0,X1)))
=> left_apart_point(X1,line_connecting(X0,X2)) ) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X0,X3,X4] :
( distinct_points(X0,X3)
=> ( left_apart_point(X4,reverse_line(line_connecting(X0,X3)))
=> left_apart_point(X3,line_connecting(X0,X4)) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X0,X3,X4] :
( distinct_points(X0,X3)
=> ( left_apart_point(X4,reverse_line(line_connecting(X0,X3)))
=> left_apart_point(X3,line_connecting(X0,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO246+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 22:05:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (23617)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (23620)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)
% 0.15/0.38 % (23620)First to succeed.
% 0.15/0.38 % (23620)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23617"
% 0.15/0.38 % (23618)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (23619)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (23621)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (23622)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (23623)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (23624)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)
% 0.15/0.38 % (23620)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (23620)------------------------------
% 0.15/0.38 % (23620)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (23620)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (23620)Memory used [KB]: 837
% 0.15/0.38 % (23620)Time elapsed: 0.004 s
% 0.15/0.38 % (23620)Instructions burned: 5 (million)
% 0.15/0.38 % (23617)Success in time 0.007 s
%------------------------------------------------------------------------------