TSTP Solution File: GEO257+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO257+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 : n005.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 11:15:03 EDT 2024
% Result : Theorem 0.21s 0.37s
% Output : Refutation 0.21s
% 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 : 70 ( 19 ~; 1 |; 43 &)
% ( 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(f157,plain,
$false,
inference(resolution,[],[f136,f111]) ).
fof(f111,plain,
left_apart_point(sK5,sK1),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ~ before_on_line(sK1,sK2,sK4)
& before_on_line(sK1,sK3,sK4)
& before_on_line(sK1,sK2,sK3)
& left_apart_point(sK5,sK1)
& ~ apart_point_and_line(sK4,sK1)
& distinct_points(sK3,sK4)
& distinct_points(sK2,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f62,f102]) ).
fof(f102,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ before_on_line(X0,X1,X3)
& before_on_line(X0,X2,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(sK1,sK2,sK4)
& before_on_line(sK1,sK3,sK4)
& before_on_line(sK1,sK2,sK3)
& left_apart_point(sK5,sK1)
& ~ apart_point_and_line(sK4,sK1)
& distinct_points(sK3,sK4)
& distinct_points(sK2,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
? [X0,X1,X2,X3,X4] :
( ~ before_on_line(X0,X1,X3)
& before_on_line(X0,X2,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,X1,X3)
& before_on_line(X0,X2,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,X2,X3)
& before_on_line(X0,X1,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,X3,X4)
& before_on_line(X1,X0,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,X3,X4)
& before_on_line(X1,X0,X3) )
=> before_on_line(X1,X0,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f136,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
% 0.04/0.12 % Problem : GEO257+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 05:37:56 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (363)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (368)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.21/0.37 % (368)First to succeed.
% 0.21/0.37 % (365)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.37 % (364)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.21/0.37 % (368)Refutation found. Thanks to Tanya!
% 0.21/0.37 % SZS status Theorem for theBenchmark
% 0.21/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.37 % (368)------------------------------
% 0.21/0.37 % (368)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.37 % (368)Termination reason: Refutation
% 0.21/0.37
% 0.21/0.37 % (368)Memory used [KB]: 848
% 0.21/0.37 % (368)Time elapsed: 0.003 s
% 0.21/0.37 % (368)Instructions burned: 4 (million)
% 0.21/0.37 % (368)------------------------------
% 0.21/0.37 % (368)------------------------------
% 0.21/0.37 % (363)Success in time 0.017 s
%------------------------------------------------------------------------------