%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO264+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 09:54:18 AM UTC 2026
% Result : Theorem 0.13s 0.48s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 21 ( 7 ~; 1 |; 9 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 14 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0,X1] :
~ ( left_apart_point(X0,X1)
| left_apart_point(X0,reverse_line(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',oag10) ).
fof(f32,conjecture,
! [X0,X1,X2,X3] :
( left_apart_point(X2,line_connecting(X0,X1))
=> ( ( left_apart_point(X3,reverse_line(line_connecting(X1,X2)))
& left_apart_point(X3,reverse_line(line_connecting(X2,X0))) )
=> left_apart_point(X3,line_connecting(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( left_apart_point(X2,line_connecting(X0,X1))
=> ( ( left_apart_point(X3,reverse_line(line_connecting(X1,X2)))
& left_apart_point(X3,reverse_line(line_connecting(X2,X0))) )
=> left_apart_point(X3,line_connecting(X0,X1)) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f48,plain,
! [X0,X1] :
( ~ left_apart_point(X0,X1)
& ~ left_apart_point(X0,reverse_line(X1)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f70,plain,
? [X0,X1,X2,X3] :
( ~ left_apart_point(X3,line_connecting(X0,X1))
& left_apart_point(X3,reverse_line(line_connecting(X1,X2)))
& left_apart_point(X3,reverse_line(line_connecting(X2,X0)))
& left_apart_point(X2,line_connecting(X0,X1)) ),
inference(ennf_transformation,[],[f33]) ).
fof(f71,plain,
? [X0,X1,X2,X3] :
( ~ left_apart_point(X3,line_connecting(X0,X1))
& left_apart_point(X3,reverse_line(line_connecting(X1,X2)))
& left_apart_point(X3,reverse_line(line_connecting(X2,X0)))
& left_apart_point(X2,line_connecting(X0,X1)) ),
inference(flattening,[],[f70]) ).
fof(f87,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[],[f48]) ).
fof(f109,plain,
left_apart_point(sK3,reverse_line(line_connecting(sK1,sK2))),
inference(cnf_transformation,[],[f71]) ).
fof(f116,plain,
$false,
inference(resolution,[],[f87,f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO264+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n006.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 07:55:42 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 0.13/0.48 % (2667427)Will run a generic schedule for satisfiability detection.
% 0.13/0.48 % (2667436)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2898066907:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.48 % (2667436) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2667427-2667436"...
% 0.13/0.48 % (2667436)...printing done.
% 0.13/0.48 % (2667433)% WARNING: option uhcvi not known.
% 0.13/0.48 % (2667436)Refutation found. Thanks to Tanya!
% 0.13/0.48 % SZS status Theorem for theBenchmark
% 0.13/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.48 % (2667436)------------------------------
% 0.13/0.48 % (2667436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.48 % (2667436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.48 % (2667436)CaDiCaL version: 2.1.3
% 0.13/0.48 % (2667436)Termination reason: Refutation
% 0.13/0.48 % (2667436)Time elapsed: 0.002 s
% 0.13/0.48 % (2667436)Peak memory usage: 12 MB
% 0.13/0.48 % (2667436)Instructions burned: 3 (million)
% 0.13/0.48 % (2667427)Success in time 0.034 s
% 0.13/0.48 % Vampire exiting
%------------------------------------------------------------------------------