%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO225+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 09:54:08 AM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 6 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 75 ( 20 ~; 27 |; 21 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 49 ( 43 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).
fof(f4,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( distinct_points(X0,X2)
| distinct_points(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart4) ).
fof(f7,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con1) ).
fof(f17,conjecture,
! [X0,X1] :
( ( point(X0)
& point(X1)
& distinct_points(X0,X1) )
=> ? [X2] :
( line(X2)
=> ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( ( point(X0)
& point(X1)
& distinct_points(X0,X1) )
=> ? [X2] :
( line(X2)
=> ( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X1,X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| distinct_points(X1,X2)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f20,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| distinct_points(X1,X2)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f19]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X0)
& distinct_points(X2,X1) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X0)
& distinct_points(X2,X1) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f25]) ).
fof(f44,plain,
? [X0,X1] :
( ! [X2] :
( ( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2) )
& line(X2) )
& point(X0)
& point(X1)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f45,plain,
? [X0,X1] :
( ! [X2] :
( ( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2) )
& line(X2) )
& point(X0)
& point(X1)
& distinct_points(X0,X1) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
( ! [X2] :
( ( apart_point_and_line(sK0,X2)
| apart_point_and_line(sK1,X2) )
& line(X2) )
& point(sK0)
& point(sK1)
& distinct_points(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f45]) ).
fof(f47,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X1,X2)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f20]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X1)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X0)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f65,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f46]) ).
fof(f69,plain,
! [X2] :
( apart_point_and_line(sK1,X2)
| apart_point_and_line(sK0,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f72,plain,
! [X0] :
( distinct_points(sK1,X0)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f50,f65]) ).
fof(f74,plain,
! [X0,X1] :
( distinct_points(X0,X1)
| distinct_points(sK1,X1)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f72,f50]) ).
fof(f77,plain,
! [X0] :
( distinct_points(X0,sK1)
| distinct_points(sK0,X0) ),
inference(resolution,[],[f74,f47]) ).
fof(f98,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| distinct_points(sK1,X0)
| apart_point_and_line(sK0,line_connecting(X1,X0)) ),
inference(resolution,[],[f53,f69]) ).
fof(f231,plain,
( distinct_points(sK1,sK1)
| apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
inference(resolution,[],[f98,f65]) ).
fof(f240,plain,
apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(forward_subsumption_resolution,[],[f231,f47]) ).
fof(f241,plain,
( distinct_points(sK0,sK0)
| ~ distinct_points(sK0,sK1) ),
inference(resolution,[],[f240,f54]) ).
fof(f247,plain,
distinct_points(sK0,sK0),
inference(forward_subsumption_resolution,[],[f241,f77]) ).
fof(f248,plain,
$false,
inference(forward_subsumption_resolution,[],[f247,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO225+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.38 % Computer : n017.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 07:40:20 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.42 Running first-order model finding
% 0.09/0.42 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 % (2218514)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (2218524)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3194050657:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (2218520)% WARNING: option uhcvi not known.
% 0.17/0.47 % (2218524) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2218514-2218524"...
% 0.17/0.47 % (2218524)...printing done.
% 0.17/0.47 % (2218524)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 % (2218524)------------------------------
% 0.17/0.47 % (2218524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (2218524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (2218524)CaDiCaL version: 2.1.3
% 0.17/0.47 % (2218524)Termination reason: Refutation
% 0.17/0.47 % (2218524)Time elapsed: 0.003 s
% 0.17/0.47 % (2218524)Peak memory usage: 11 MB
% 0.17/0.47 % (2218524)Instructions burned: 8 (million)
% 0.17/0.47 % (2218514)Success in time 0.037 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------