%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO257+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:54:16 AM UTC 2026
% Result : Theorem 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 40 ( 8 ~; 1 |; 27 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 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 : 26 ( 16 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',ax10_basics) ).
fof(f37,conjecture,
! [X0,X1,X2,X3,X4] :
( ( distinct_points(X1,X3)
& distinct_points(X2,X3)
& incident_point_and_line(X3,X0)
& left_apart_point(X4,X0) )
=> ( ( before_on_line(X0,X1,X2)
& before_on_line(X0,X2,X3) )
=> before_on_line(X0,X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( distinct_points(X1,X3)
& distinct_points(X2,X3)
& incident_point_and_line(X3,X0)
& left_apart_point(X4,X0) )
=> ( ( before_on_line(X0,X1,X2)
& before_on_line(X0,X2,X3) )
=> before_on_line(X0,X1,X3) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f53,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f76,plain,
? [X0,X1,X2,X3,X4] :
( ~ before_on_line(X0,X1,X3)
& before_on_line(X0,X1,X2)
& before_on_line(X0,X2,X3)
& distinct_points(X1,X3)
& distinct_points(X2,X3)
& incident_point_and_line(X3,X0)
& left_apart_point(X4,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f77,plain,
? [X0,X1,X2,X3,X4] :
( ~ before_on_line(X0,X1,X3)
& before_on_line(X0,X1,X2)
& before_on_line(X0,X2,X3)
& distinct_points(X1,X3)
& distinct_points(X2,X3)
& incident_point_and_line(X3,X0)
& left_apart_point(X4,X0) ),
inference(flattening,[],[f76]) ).
fof(f81,plain,
( ~ before_on_line(sK0,sK1,sK3)
& before_on_line(sK0,sK1,sK2)
& before_on_line(sK0,sK2,sK3)
& distinct_points(sK1,sK3)
& distinct_points(sK2,sK3)
& incident_point_and_line(sK3,sK0)
& left_apart_point(sK4,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f77]) ).
fof(f105,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f53]) ).
fof(f125,plain,
left_apart_point(sK4,sK0),
inference(cnf_transformation,[],[f81]) ).
fof(f135,plain,
$false,
inference(resolution,[],[f105,f125]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO257+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n020.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 07:55:04 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.46 % (3075454)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (3075464)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1924737280:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.46 % (3075464) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3075454-3075464"...
% 0.16/0.46 % (3075464)...printing done.
% 0.16/0.46 % (3075464)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Theorem for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.46 % (3075464)------------------------------
% 0.16/0.46 % (3075464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46 % (3075464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46 % (3075464)CaDiCaL version: 2.1.3
% 0.16/0.46 % (3075464)Termination reason: Refutation
% 0.16/0.46 % (3075464)Time elapsed: 0.001 s
% 0.16/0.46 % (3075464)Peak memory usage: 12 MB
% 0.16/0.46 % (3075464)Instructions burned: 2 (million)
% 0.16/0.46 % (3075454)Success in time 0.032 s
% 0.16/0.46 % Vampire exiting
%------------------------------------------------------------------------------