%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO216+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 09:54:04 AM UTC 2026
% Result : Theorem 0.13s 0.42s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 8 ~; 2 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 11 ( 10 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
fof(f15,axiom,
! [X0,X1] :
~ ( ~ convergent_lines(X0,X1)
& ~ unorthogonal_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax',coipo1) ).
fof(f18,conjecture,
! [X0] : unorthogonal_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f19,negated_conjecture,
~ ! [X0] : unorthogonal_lines(X0,X0),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f38,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f43,plain,
? [X0] : ~ unorthogonal_lines(X0,X0),
inference(ennf_transformation,[],[f19]) ).
fof(f46,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f58,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f64,plain,
~ unorthogonal_lines(sK0,sK0),
inference(cnf_transformation,[],[f43]) ).
fof(f65,plain,
convergent_lines(sK0,sK0),
inference(resolution,[],[f58,f64]) ).
fof(f66,plain,
$false,
inference(forward_subsumption_resolution,[],[f65,f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO216+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.35 % Computer : n007.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 07:38:25 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 Running first-order model finding
% 0.13/0.39 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
% 0.13/0.42 % (1077864)Will run a generic schedule for satisfiability detection.
% 0.13/0.42 % (1077873)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=964124813:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.42 % (1077873) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1077864-1077873"...
% 0.13/0.42 % (1077873)...printing done.
% 0.13/0.42 % (1077873)Refutation found. Thanks to Tanya!
% 0.13/0.42 % SZS status Theorem for theBenchmark
% 0.13/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.42 % (1077873)------------------------------
% 0.13/0.42 % (1077873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.42 % (1077873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.42 % (1077873)CaDiCaL version: 2.1.3
% 0.13/0.42 % (1077873)Termination reason: Refutation
% 0.13/0.42 % (1077873)Time elapsed: 0.001 s
% 0.13/0.42 % (1077873)Peak memory usage: 12 MB
% 0.13/0.42 % (1077873)Instructions burned: 2 (million)
% 0.13/0.42 % (1077864)Success in time 0.027 s
% 0.13/0.42 % Vampire exiting
%------------------------------------------------------------------------------