%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO253+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 09:54:15 AM UTC 2026
% Result : Theorem 0.14s 0.45s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 13 ~; 6 |; 4 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 34 ( 31 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( right_apart_point(X0,X1)
<=> left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a2_defns) ).
fof(f6,axiom,
! [X0,X1] :
( apart_point_and_line(X0,X1)
<=> ( left_apart_point(X0,X1)
| right_apart_point(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',a6_defns) ).
fof(f20,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO009+0.ax',ax10_basics) ).
fof(f37,conjecture,
! [X0,X1,X2] :
( ( apart_point_and_line(X0,X2)
& incident_point_and_line(X1,parallel_through_point(X2,X0)) )
=> apart_point_and_line(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f38,negated_conjecture,
~ ! [X0,X1,X2] :
( ( apart_point_and_line(X0,X2)
& incident_point_and_line(X1,parallel_through_point(X2,X0)) )
=> apart_point_and_line(X1,X2) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f40,plain,
~ ! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
=> apart_point_and_line(X1,X2) ),
inference(pure_predicate_removal,[],[f38]) ).
fof(f52,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f75,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X1,X2)
& apart_point_and_line(X0,X2) ),
inference(ennf_transformation,[],[f40]) ).
fof(f77,plain,
! [X0,X1] :
( left_apart_point(X0,reverse_line(X1))
| ~ right_apart_point(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f79,plain,
! [X0,X1] :
( right_apart_point(X0,X1)
| left_apart_point(X0,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f94,plain,
! [X0,X1] : ~ left_apart_point(X0,reverse_line(X1)),
inference(cnf_transformation,[],[f52]) ).
fof(f95,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f52]) ).
fof(f115,plain,
apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f75]) ).
fof(f119,plain,
! [X0,X1] :
( right_apart_point(X0,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(forward_subsumption_resolution,[],[f79,f95]) ).
fof(f120,plain,
! [X0,X1] : ~ right_apart_point(X0,X1),
inference(forward_subsumption_resolution,[],[f77,f94]) ).
fof(f125,plain,
! [X0,X1] : ~ apart_point_and_line(X0,X1),
inference(resolution,[],[f119,f120]) ).
fof(f126,plain,
$false,
inference(resolution,[],[f125,f115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO253+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 07:53:16 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 Running first-order model finding
% 0.14/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.45 % (481470)Will run a generic schedule for satisfiability detection.
% 0.14/0.45 % (481479)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=132616809:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.45 % (481479) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-481470-481479"...
% 0.14/0.45 % (481479)...printing done.
% 0.14/0.45 % (481479)Refutation found. Thanks to Tanya!
% 0.14/0.45 % SZS status Theorem for theBenchmark
% 0.14/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.45 % (481479)------------------------------
% 0.14/0.45 % (481479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.45 % (481479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.45 % (481479)CaDiCaL version: 2.1.3
% 0.14/0.45 % (481479)Termination reason: Refutation
% 0.14/0.45 % (481479)Time elapsed: 0.002 s
% 0.14/0.45 % (481479)Peak memory usage: 11 MB
% 0.14/0.45 % (481479)Instructions burned: 3 (million)
% 0.14/0.45 % (481470)Success in time 0.035 s
% 0.14/0.45 % Vampire exiting
%------------------------------------------------------------------------------