%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO208+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 : 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 09:54:01 AM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 48 ( 21 ~; 14 |; 10 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 26 ( 20 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
=> ( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+2.ax',cup1) ).
fof(f18,conjecture,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2)
& ~ convergent_lines(X1,X2) )
=> ~ distinct_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f19,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2)
& ~ convergent_lines(X1,X2) )
=> ~ distinct_lines(X1,X2) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f38,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| convergent_lines(X1,X2)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f39,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| convergent_lines(X1,X2)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
? [X0,X1,X2] :
( distinct_lines(X1,X2)
& ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2)
& ~ convergent_lines(X1,X2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f41,plain,
? [X0,X1,X2] :
( distinct_lines(X1,X2)
& ~ apart_point_and_line(X0,X1)
& ~ apart_point_and_line(X0,X2)
& ~ convergent_lines(X1,X2) ),
inference(flattening,[],[f40]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X2)
| convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f59,plain,
~ convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f41]) ).
fof(f60,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f41]) ).
fof(f61,plain,
~ apart_point_and_line(sK0,sK1),
inference(cnf_transformation,[],[f41]) ).
fof(f62,plain,
distinct_lines(sK1,sK2),
inference(cnf_transformation,[],[f41]) ).
fof(f139,plain,
! [X0] :
( convergent_lines(sK1,sK2)
| apart_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK1) ),
inference(resolution,[],[f58,f62]) ).
fof(f145,plain,
! [X0] :
( apart_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK1) ),
inference(forward_subsumption_resolution,[],[f139,f59]) ).
fof(f152,plain,
apart_point_and_line(sK0,sK1),
inference(resolution,[],[f145,f60]) ).
fof(f153,plain,
$false,
inference(forward_subsumption_resolution,[],[f152,f61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO208+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 07:36:55 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.11/0.45 % (474487)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (474496)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2788999773:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (474496) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-474487-474496"...
% 0.11/0.45 % (474493)% WARNING: option uhcvi not known.
% 0.11/0.45 % (474496)...printing done.
% 0.11/0.45 % (474496)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (474496)------------------------------
% 0.11/0.45 % (474496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (474496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (474496)CaDiCaL version: 2.1.3
% 0.11/0.45 % (474496)Termination reason: Refutation
% 0.11/0.45 % (474496)Time elapsed: 0.002 s
% 0.11/0.45 % (474496)Peak memory usage: 11 MB
% 0.11/0.45 % (474496)Instructions burned: 5 (million)
% 0.11/0.45 % (474487)Success in time 0.027 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------