%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO237+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 : n018.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 09:54:11 AM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 33 ( 12 ~; 7 |; 9 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 34 ( 26 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2] :
( divides_points(X2,X0,X1)
<=> ( ( left_apart_point(X0,X2)
& right_apart_point(X1,X2) )
| ( right_apart_point(X0,X2)
& left_apart_point(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO009+0.ax',a8_defns) ).
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] :
( apart_point_and_line(X2,X3)
=> ( divides_points(X3,X0,X1)
=> ( divides_points(X3,X0,X2)
| divides_points(X3,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( apart_point_and_line(X2,X3)
=> ( divides_points(X3,X0,X1)
=> ( divides_points(X3,X0,X2)
| divides_points(X3,X1,X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f51,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f74,plain,
? [X0,X1,X2,X3] :
( ~ divides_points(X3,X0,X2)
& ~ divides_points(X3,X1,X2)
& divides_points(X3,X0,X1)
& apart_point_and_line(X2,X3) ),
inference(ennf_transformation,[],[f38]) ).
fof(f75,plain,
? [X0,X1,X2,X3] :
( ~ divides_points(X3,X0,X2)
& ~ divides_points(X3,X1,X2)
& divides_points(X3,X0,X1)
& apart_point_and_line(X2,X3) ),
inference(flattening,[],[f74]) ).
fof(f86,plain,
! [X2,X0,X1] :
( left_apart_point(X1,X2)
| left_apart_point(X0,X2)
| ~ divides_points(X2,X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f101,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f51]) ).
fof(f122,plain,
divides_points(sK3,sK0,sK1),
inference(cnf_transformation,[],[f75]) ).
fof(f129,plain,
! [X2,X0,X1] :
( left_apart_point(X0,X2)
| ~ divides_points(X2,X0,X1) ),
inference(forward_subsumption_resolution,[],[f86,f101]) ).
fof(f133,plain,
! [X2,X0,X1] : ~ divides_points(X2,X0,X1),
inference(forward_subsumption_resolution,[],[f129,f101]) ).
fof(f134,plain,
$false,
inference(resolution,[],[f133,f122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO237+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n018.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 07:50:39 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.17/0.47 % (2002953)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (2002962)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1869898180:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (2002962) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2002953-2002962"...
% 0.17/0.47 % (2002962)...printing done.
% 0.17/0.47 % (2002962)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (2002962)------------------------------
% 0.17/0.47 % (2002962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (2002962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (2002962)CaDiCaL version: 2.1.3
% 0.17/0.47 % (2002962)Termination reason: Refutation
% 0.17/0.47 % (2002962)Time elapsed: 0.002 s
% 0.17/0.47 % (2002962)Peak memory usage: 12 MB
% 0.17/0.47 % (2002962)Instructions burned: 4 (million)
% 0.17/0.47 % (2002953)Success in time 0.043 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------