%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO191+3 : TPTP v9.3.1. Released v4.0.0.
% 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 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 49 ( 13 unt; 2 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 105 ( 38 ~; 44 |; 16 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 75 ( 0 sgn 67 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ax6) ).
fof(f13,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/GEO006+0.ax',ceq2) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+1.ax',p1) ).
fof(f16,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp1) ).
fof(f17,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp2) ).
fof(f36,conjecture,
! [X0,X1,X2,X3] :
( ( convergent_lines(X0,X1)
& convergent_lines(X2,X3)
& ( apart_point_and_line(intersection_point(X0,X1),X2)
| apart_point_and_line(intersection_point(X0,X1),X3) ) )
=> ( apart_point_and_line(intersection_point(X2,X3),X0)
| apart_point_and_line(intersection_point(X2,X3),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( convergent_lines(X0,X1)
& convergent_lines(X2,X3)
& ( apart_point_and_line(intersection_point(X0,X1),X2)
| apart_point_and_line(intersection_point(X0,X1),X3) ) )
=> ( apart_point_and_line(intersection_point(X2,X3),X0)
| apart_point_and_line(intersection_point(X2,X3),X1) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f42,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f43,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f42]) ).
fof(f52,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f53,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f52]) ).
fof(f56,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f76,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(intersection_point(X2,X3),X0)
& ~ apart_point_and_line(intersection_point(X2,X3),X1)
& convergent_lines(X0,X1)
& convergent_lines(X2,X3)
& ( apart_point_and_line(intersection_point(X0,X1),X2)
| apart_point_and_line(intersection_point(X0,X1),X3) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f77,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(intersection_point(X2,X3),X0)
& ~ apart_point_and_line(intersection_point(X2,X3),X1)
& convergent_lines(X0,X1)
& convergent_lines(X2,X3)
& ( apart_point_and_line(intersection_point(X0,X1),X2)
| apart_point_and_line(intersection_point(X0,X1),X3) ) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK3),sK0)
& ~ apart_point_and_line(intersection_point(sK2,sK3),sK1)
& convergent_lines(sK0,sK1)
& convergent_lines(sK2,sK3)
& ( apart_point_and_line(intersection_point(sK0,sK1),sK2)
| apart_point_and_line(intersection_point(sK0,sK1),sK3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f77]) ).
fof(f81,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f84,plain,
! [X2,X0,X1] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f91,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f93,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f94,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f16]) ).
fof(f95,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f17]) ).
fof(f115,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK2)
| apart_point_and_line(intersection_point(sK0,sK1),sK3) ),
inference(cnf_transformation,[],[f78]) ).
fof(f128,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X1)
| ~ apart_point_and_line(X0,X2)
| ~ distinct_lines(X1,X2) ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f130,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f93]) ).
fof(f131,plain,
! [X0,X1] : apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(consistent_polarity_flipping,[],[f95]) ).
fof(f149,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
| ~ apart_point_and_line(intersection_point(sK0,sK1),sK3) ),
inference(consistent_polarity_flipping,[],[f115]) ).
fof(f151,definition,
( spl4_1
<=> apart_point_and_line(intersection_point(sK0,sK1),sK3) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f153,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK3)
| spl4_1 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f155,definition,
( spl4_2
<=> apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f157,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
| spl4_2 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f158,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f149,f155,f151]) ).
fof(f164,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,parallel_through_point(X1,X2))
| convergent_lines(X0,X1) ),
inference(resolution,[],[f84,f94]) ).
fof(f166,plain,
! [X2,X0,X1] :
( distinct_lines(X0,parallel_through_point(X1,X2))
| convergent_lines(X0,X1) ),
inference(resolution,[],[f164,f130]) ).
fof(f177,plain,
( ! [X0] :
( ~ apart_point_and_line(intersection_point(sK0,sK1),X0)
| ~ distinct_lines(sK3,X0) )
| spl4_1 ),
inference(resolution,[],[f128,f153]) ).
fof(f178,plain,
( ! [X0] :
( ~ apart_point_and_line(intersection_point(sK0,sK1),X0)
| ~ distinct_lines(sK2,X0) )
| spl4_2 ),
inference(resolution,[],[f128,f157]) ).
fof(f187,plain,
( ! [X0] : ~ distinct_lines(sK3,parallel_through_point(X0,intersection_point(sK0,sK1)))
| spl4_1 ),
inference(resolution,[],[f177,f131]) ).
fof(f217,plain,
( ! [X0] : convergent_lines(sK3,X0)
| spl4_1 ),
inference(resolution,[],[f187,f166]) ).
fof(f219,plain,
( $false
| spl4_1 ),
inference(resolution,[],[f217,f81]) ).
fof(f221,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f219]) ).
fof(f229,plain,
( ! [X0] : ~ distinct_lines(sK2,parallel_through_point(X0,intersection_point(sK0,sK1)))
| spl4_2 ),
inference(resolution,[],[f178,f131]) ).
fof(f255,plain,
( ! [X0] : convergent_lines(sK2,X0)
| spl4_2 ),
inference(resolution,[],[f229,f166]) ).
fof(f257,plain,
( $false
| spl4_2 ),
inference(resolution,[],[f255,f81]) ).
fof(f259,plain,
spl4_2,
inference(avatar_contradiction_clause,[],[f257]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f158]) ).
cnf(s5,plain,
spl4_1,
inference(sat_conversion,[],[f221]) ).
cnf(s8,plain,
spl4_2,
inference(sat_conversion,[],[f259]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s8,s5]) ).
fof(f260,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO191+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % 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 07:30:45 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 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
% 0.19/0.49 % (2065705)Will run a generic schedule for satisfiability detection.
% 0.19/0.49 % (2065710)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1937434854_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.49 % TRYING [1]
% 0.19/0.49 % TRYING [2]
% 0.19/0.49 % TRYING [3]
% 0.19/0.49 % TRYING [4]
% 0.19/0.49 % (2065711)% WARNING: option uhcvi not known.
% 0.19/0.49 % TRYING [5]
% 0.19/0.49 % (2065711)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2600206159:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.49 % (2065712)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2865783869:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.49 % (2065716)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1903032367:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.49 % (2065713)dis+10_1_sil=32000:sp=arity:random_seed=4208959217:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.49 % TRYING [6]
% 0.19/0.49 % (2065714)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4093143347:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.49 % (2065715)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2968214798:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.49 % (2065716) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2065705-2065716"...
% 0.19/0.49 % (2065716)...printing done.
% 0.19/0.49 % (2065716)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (2065716)------------------------------
% 0.19/0.49 % (2065716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.49 % (2065716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.49 % (2065716)CaDiCaL version: 2.1.3
% 0.19/0.49 % (2065716)Termination reason: Refutation
% 0.19/0.49 % (2065716)Time elapsed: 0.006 s
% 0.19/0.49 % (2065716)Peak memory usage: 12 MB
% 0.19/0.49 % (2065716)Instructions burned: 5 (million)
% 0.19/0.49 % (2065705)Success in time 0.046 s
% 0.19/0.49 % Vampire exiting
%------------------------------------------------------------------------------