%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO192+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 : n011.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 09:53:54 AM UTC 2026
% Result : Theorem 0.12s 0.46s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 59 ( 16 unt; 2 def)
% Number of atoms : 136 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 132 ( 55 ~; 59 |; 8 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 77 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart2) ).
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart5) ).
fof(f8,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con2) ).
fof(f11,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq2) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> ( distinct_lines(X0,X2)
& distinct_lines(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( apart_point_and_line(intersection_point(X0,X1),X2)
=> ( distinct_lines(X0,X2)
& distinct_lines(X1,X2) ) ) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f17,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f18,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f17]) ).
fof(f23,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X0)
& ~ apart_point_and_line(X2,X1) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f24,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X0)
& ~ apart_point_and_line(X2,X1) )
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f23]) ).
fof(f29,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f32,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(X0,X2)
| ~ distinct_lines(X1,X2) )
& apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f33,plain,
? [X0,X1,X2] :
( ( ~ distinct_lines(X0,X2)
| ~ distinct_lines(X1,X2) )
& apart_point_and_line(intersection_point(X0,X1),X2)
& convergent_lines(X0,X1) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f35,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X1,X2)
| distinct_lines(X0,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X1)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X0)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f48,plain,
( ~ distinct_lines(sK1,sK2)
| ~ distinct_lines(sK0,sK2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f49,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f33]) ).
fof(f50,plain,
apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f33]) ).
fof(f51,plain,
! [X0] : distinct_points(X0,X0),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f52,plain,
! [X0] : distinct_lines(X0,X0),
inference(consistent_polarity_flipping,[],[f35]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X2)
| distinct_lines(X0,X1)
| ~ distinct_lines(X0,X2) ),
inference(consistent_polarity_flipping,[],[f38]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ distinct_points(X2,intersection_point(X0,X1))
| apart_point_and_line(X2,X0)
| convergent_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ distinct_points(X2,intersection_point(X0,X1))
| apart_point_and_line(X2,X1)
| convergent_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f42]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(consistent_polarity_flipping,[],[f46]) ).
fof(f65,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(consistent_polarity_flipping,[],[f50]) ).
fof(f66,plain,
~ convergent_lines(sK0,sK1),
inference(consistent_polarity_flipping,[],[f49]) ).
fof(f67,plain,
( distinct_lines(sK1,sK2)
| distinct_lines(sK0,sK2) ),
inference(consistent_polarity_flipping,[],[f48]) ).
fof(f69,definition,
( spl3_1
<=> distinct_lines(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f71,plain,
( distinct_lines(sK0,sK2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f73,definition,
( spl3_2
<=> distinct_lines(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f75,plain,
( distinct_lines(sK1,sK2)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f67,f73,f69]) ).
fof(f80,plain,
( ! [X0] :
( ~ distinct_lines(X0,sK2)
| distinct_lines(X0,sK1) )
| ~ spl3_2 ),
inference(resolution,[],[f55,f75]) ).
fof(f87,plain,
( distinct_lines(sK2,sK1)
| ~ spl3_2 ),
inference(resolution,[],[f80,f52]) ).
fof(f90,plain,
! [X0,X1] :
( apart_point_and_line(intersection_point(X0,X1),X0)
| convergent_lines(X0,X1) ),
inference(resolution,[],[f59,f51]) ).
fof(f91,plain,
! [X0,X1] :
( apart_point_and_line(intersection_point(X0,X1),X1)
| convergent_lines(X0,X1) ),
inference(resolution,[],[f60,f51]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X2,X0)
| apart_point_and_line(intersection_point(X0,X1),X2)
| convergent_lines(X0,X1) ),
inference(resolution,[],[f90,f63]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X2,X1)
| apart_point_and_line(intersection_point(X0,X1),X2)
| convergent_lines(X0,X1) ),
inference(resolution,[],[f91,f63]) ).
fof(f114,plain,
( ! [X0] :
( apart_point_and_line(intersection_point(X0,sK1),sK2)
| convergent_lines(X0,sK1) )
| ~ spl3_2 ),
inference(resolution,[],[f102,f87]) ).
fof(f165,plain,
( convergent_lines(sK0,sK1)
| ~ spl3_2 ),
inference(resolution,[],[f114,f65]) ).
fof(f173,plain,
( $false
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f165,f66]) ).
fof(f174,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f173]) ).
fof(f177,plain,
( ! [X0] :
( ~ distinct_lines(X0,sK2)
| distinct_lines(X0,sK0) )
| ~ spl3_1 ),
inference(resolution,[],[f71,f55]) ).
fof(f180,plain,
( distinct_lines(sK2,sK0)
| ~ spl3_1 ),
inference(resolution,[],[f177,f52]) ).
fof(f183,plain,
( ! [X0] :
( apart_point_and_line(intersection_point(sK0,X0),sK2)
| convergent_lines(sK0,X0) )
| ~ spl3_1 ),
inference(resolution,[],[f180,f99]) ).
fof(f214,plain,
( convergent_lines(sK0,sK1)
| ~ spl3_1 ),
inference(resolution,[],[f183,f65]) ).
fof(f222,plain,
( $false
| ~ spl3_1 ),
inference(forward_subsumption_resolution,[],[f214,f66]) ).
fof(f223,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f222]) ).
cnf(s1,plain,
( spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f76]) ).
cnf(s2,plain,
~ spl3_2,
inference(sat_conversion,[],[f174]) ).
cnf(s3,plain,
~ spl3_1,
inference(sat_conversion,[],[f223]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f224,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO192+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n011.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 07:30:30 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.12/0.46 % (2064828)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (2064838)% WARNING: option uhcvi not known.
% 0.12/0.46 % (2064838)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2402709262:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.46 % (2064838) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2064828-2064838"...
% 0.12/0.46 % (2064838)...printing done.
% 0.12/0.46 % (2064838)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Theorem for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (2064838)------------------------------
% 0.12/0.46 % (2064838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (2064838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (2064838)CaDiCaL version: 2.1.3
% 0.12/0.46 % (2064838)Termination reason: Refutation
% 0.12/0.46 % (2064838)Time elapsed: 0.003 s
% 0.12/0.46 % (2064838)Peak memory usage: 12 MB
% 0.12/0.46 % (2064838)Instructions burned: 7 (million)
% 0.12/0.46 % (2064828)Success in time 0.028 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------