TSTP Solution File: GEO256+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO256+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 : Mon May 20 20:15:38 EDT 2024
% Result : Theorem 0.12s 0.36s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 3 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 75 ( 24 ~; 4 |; 40 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 36 ( 21 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f153,plain,
$false,
inference(resolution,[],[f132,f107]) ).
fof(f107,plain,
left_apart_point(sK4,sK0),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ~ before_on_line(sK0,sK3,sK2)
& ~ before_on_line(sK0,sK1,sK3)
& before_on_line(sK0,sK1,sK2)
& left_apart_point(sK4,sK0)
& ~ apart_point_and_line(sK3,sK0)
& distinct_points(sK2,sK3)
& distinct_points(sK1,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f62,f100]) ).
fof(f100,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ before_on_line(X0,X3,X2)
& ~ before_on_line(X0,X1,X3)
& before_on_line(X0,X1,X2)
& left_apart_point(X4,X0)
& ~ apart_point_and_line(X3,X0)
& distinct_points(X2,X3)
& distinct_points(X1,X3) )
=> ( ~ before_on_line(sK0,sK3,sK2)
& ~ before_on_line(sK0,sK1,sK3)
& before_on_line(sK0,sK1,sK2)
& left_apart_point(sK4,sK0)
& ~ apart_point_and_line(sK3,sK0)
& distinct_points(sK2,sK3)
& distinct_points(sK1,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
? [X0,X1,X2,X3,X4] :
( ~ before_on_line(X0,X3,X2)
& ~ before_on_line(X0,X1,X3)
& before_on_line(X0,X1,X2)
& left_apart_point(X4,X0)
& ~ apart_point_and_line(X3,X0)
& distinct_points(X2,X3)
& distinct_points(X1,X3) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
? [X0,X1,X2,X3,X4] :
( ~ before_on_line(X0,X3,X2)
& ~ before_on_line(X0,X1,X3)
& before_on_line(X0,X1,X2)
& left_apart_point(X4,X0)
& ~ apart_point_and_line(X3,X0)
& distinct_points(X2,X3)
& distinct_points(X1,X3) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( left_apart_point(X4,X0)
& ~ apart_point_and_line(X3,X0)
& distinct_points(X2,X3)
& distinct_points(X1,X3) )
=> ( before_on_line(X0,X1,X2)
=> ( before_on_line(X0,X3,X2)
| before_on_line(X0,X1,X3) ) ) ),
inference(rectify,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X1,X0,X3,X4,X6] :
( ( left_apart_point(X6,X1)
& ~ apart_point_and_line(X4,X1)
& distinct_points(X3,X4)
& distinct_points(X0,X4) )
=> ( before_on_line(X1,X0,X3)
=> ( before_on_line(X1,X4,X3)
| before_on_line(X1,X0,X4) ) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X1,X0,X3,X4,X6] :
( ( left_apart_point(X6,X1)
& ~ apart_point_and_line(X4,X1)
& distinct_points(X3,X4)
& distinct_points(X0,X4) )
=> ( before_on_line(X1,X0,X3)
=> ( before_on_line(X1,X4,X3)
| before_on_line(X1,X0,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f132,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO256+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% 0.07/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun May 19 14:32:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (13123)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (13128)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.35 TRYING [1,1]
% 0.12/0.35 TRYING [2,2]
% 0.12/0.36 TRYING [3,3]
% 0.12/0.36 % (13126)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.36 % (13127)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)
% 0.12/0.36 % (13130)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.36 % (13131)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)
% 0.12/0.36 TRYING [4,4]
% 0.12/0.36 % (13125)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.36 % (13130)First to succeed.
% 0.12/0.36 % (13129)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.36 % (13130)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13123"
% 0.12/0.36 % (13127)Also succeeded, but the first one will report.
% 0.12/0.36 TRYING [1]
% 0.12/0.36 % (13130)Refutation found. Thanks to Tanya!
% 0.12/0.36 % SZS status Theorem for theBenchmark
% 0.12/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.36 % (13130)------------------------------
% 0.12/0.36 % (13130)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36 % (13130)Termination reason: Refutation
% 0.12/0.36
% 0.12/0.36 % (13130)Memory used [KB]: 832
% 0.12/0.36 % (13130)Time elapsed: 0.004 s
% 0.12/0.36 % (13130)Instructions burned: 4 (million)
% 0.12/0.36 % (13123)Success in time 0.019 s
%------------------------------------------------------------------------------