%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO203+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 : 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 09:53:59 AM UTC 2026
% Result : Theorem 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 67 ( 18 unt; 4 def)
% Number of atoms : 163 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 155 ( 59 ~; 74 |; 11 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 63 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart2) ).
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart5) ).
fof(f7,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci1) ).
fof(f8,axiom,
! [X0,X1] :
( distinct_points(X0,X1)
=> ~ apart_point_and_line(X1,line_connecting(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci2) ).
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci3) ).
fof(f11,axiom,
! [X0,X1,X2,X3] :
( ( distinct_points(X0,X1)
& distinct_lines(X2,X3) )
=> ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',cu1) ).
fof(f15,conjecture,
! [X0,X1,X2] :
( ( convergent_lines(X0,X1)
& convergent_lines(X0,X2)
& distinct_points(intersection_point(X0,X1),intersection_point(X0,X2)) )
=> ~ distinct_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2] :
( ( convergent_lines(X0,X1)
& convergent_lines(X0,X2)
& distinct_points(intersection_point(X0,X1),intersection_point(X0,X2)) )
=> ~ distinct_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f19,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f20,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f19]) ).
fof(f23,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f24,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f25,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3) ),
inference(ennf_transformation,[],[f11]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3) ),
inference(flattening,[],[f27]) ).
fof(f35,plain,
? [X0,X1,X2] :
( distinct_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0)
& convergent_lines(X0,X1)
& convergent_lines(X0,X2)
& distinct_points(intersection_point(X0,X1),intersection_point(X0,X2)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f36,plain,
? [X0,X1,X2] :
( distinct_lines(line_connecting(intersection_point(X0,X1),intersection_point(X0,X2)),X0)
& convergent_lines(X0,X1)
& convergent_lines(X0,X2)
& distinct_points(intersection_point(X0,X1),intersection_point(X0,X2)) ),
inference(flattening,[],[f35]) ).
fof(f38,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X1,X2)
| distinct_lines(X0,X2) ),
inference(cnf_transformation,[],[f20]) ).
fof(f43,plain,
! [X0,X1] :
( ~ apart_point_and_line(X0,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f45,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f47,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f51,plain,
distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),
inference(cnf_transformation,[],[f36]) ).
fof(f52,plain,
convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f36]) ).
fof(f53,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f36]) ).
fof(f54,plain,
distinct_lines(line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),sK0),
inference(cnf_transformation,[],[f36]) ).
fof(f57,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| convergent_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f45]) ).
fof(f60,plain,
~ convergent_lines(sK0,sK1),
inference(consistent_polarity_flipping,[],[f53]) ).
fof(f61,plain,
~ convergent_lines(sK0,sK2),
inference(consistent_polarity_flipping,[],[f52]) ).
fof(f63,plain,
! [X0] :
( distinct_lines(line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)),X0)
| distinct_lines(sK0,X0) ),
inference(resolution,[],[f41,f54]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ distinct_points(X1,X2)
| distinct_lines(sK0,X0)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
| apart_point_and_line(X1,X0)
| apart_point_and_line(X1,line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2))) ),
inference(resolution,[],[f63,f47]) ).
fof(f95,definition,
( spl3_2
<=> apart_point_and_line(intersection_point(sK0,sK2),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2))) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f97,plain,
( apart_point_and_line(intersection_point(sK0,sK2),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f108,definition,
( spl3_5
<=> apart_point_and_line(intersection_point(sK0,sK1),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2))) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f110,plain,
( apart_point_and_line(intersection_point(sK0,sK1),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f112,definition,
( spl3_6
<=> apart_point_and_line(intersection_point(sK0,sK1),sK0) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f113,plain,
( ~ apart_point_and_line(intersection_point(sK0,sK1),sK0)
| spl3_6 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f114,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK0)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f130,plain,
( ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
| ~ spl3_5 ),
inference(resolution,[],[f110,f43]) ).
fof(f133,plain,
( $false
| ~ spl3_5 ),
inference(forward_subsumption_resolution,[],[f130,f51]) ).
fof(f134,plain,
~ spl3_5,
inference(avatar_contradiction_clause,[],[f133]) ).
fof(f135,plain,
( convergent_lines(sK0,sK1)
| ~ spl3_6 ),
inference(resolution,[],[f114,f57]) ).
fof(f138,plain,
( $false
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f135,f60]) ).
fof(f139,plain,
~ spl3_6,
inference(avatar_contradiction_clause,[],[f138]) ).
fof(f152,plain,
! [X0] :
( distinct_lines(sK0,X0)
| apart_point_and_line(intersection_point(sK0,sK2),X0)
| apart_point_and_line(intersection_point(sK0,sK2),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2)))
| apart_point_and_line(intersection_point(sK0,sK1),X0)
| apart_point_and_line(intersection_point(sK0,sK1),line_connecting(intersection_point(sK0,sK1),intersection_point(sK0,sK2))) ),
inference(resolution,[],[f70,f51]) ).
fof(f177,definition,
( spl3_14
<=> ! [X0] :
( distinct_lines(sK0,X0)
| apart_point_and_line(intersection_point(sK0,sK1),X0)
| apart_point_and_line(intersection_point(sK0,sK2),X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_14])],[avatar_definition]) ).
fof(f178,plain,
( ! [X0] :
( apart_point_and_line(intersection_point(sK0,sK2),X0)
| apart_point_and_line(intersection_point(sK0,sK1),X0)
| distinct_lines(sK0,X0) )
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f179,plain,
( spl3_5
| spl3_2
| spl3_14 ),
inference(avatar_split_clause,[],[f152,f177,f95,f108]) ).
fof(f197,plain,
( ~ distinct_points(intersection_point(sK0,sK1),intersection_point(sK0,sK2))
| ~ spl3_2 ),
inference(resolution,[],[f97,f44]) ).
fof(f200,plain,
( $false
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f197,f51]) ).
fof(f201,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f200]) ).
fof(f205,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK0)
| distinct_lines(sK0,sK0)
| convergent_lines(sK0,sK2)
| ~ spl3_14 ),
inference(resolution,[],[f178,f57]) ).
fof(f212,plain,
( distinct_lines(sK0,sK0)
| convergent_lines(sK0,sK2)
| spl3_6
| ~ spl3_14 ),
inference(forward_subsumption_resolution,[],[f205,f113]) ).
fof(f222,plain,
( convergent_lines(sK0,sK2)
| spl3_6
| ~ spl3_14 ),
inference(forward_subsumption_resolution,[],[f212,f38]) ).
fof(f223,plain,
( $false
| spl3_6
| ~ spl3_14 ),
inference(forward_subsumption_resolution,[],[f222,f61]) ).
fof(f224,plain,
( spl3_6
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f223]) ).
cnf(s8,plain,
~ spl3_5,
inference(sat_conversion,[],[f134]) ).
cnf(s9,plain,
~ spl3_6,
inference(sat_conversion,[],[f139]) ).
cnf(s15,plain,
( spl3_2
| spl3_5
| spl3_14 ),
inference(sat_conversion,[],[f179]) ).
cnf(s16,plain,
~ spl3_2,
inference(sat_conversion,[],[f201]) ).
cnf(s18,plain,
( spl3_6
| ~ spl3_14 ),
inference(sat_conversion,[],[f224]) ).
cnf(s19,plain,
( spl3_5
| spl3_14 ),
inference(rat,[],[s15,s16]) ).
cnf(s22,plain,
~ spl3_14,
inference(rat,[],[s18,s9]) ).
cnf(s23,plain,
spl3_5,
inference(rat,[],[s19,s22]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s8,s23]) ).
fof(f225,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO203+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n006.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 07:35:10 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.16/0.47 % (2657158)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (2657165)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=848473189:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (2657164)% WARNING: option uhcvi not known.
% 0.16/0.47 % (2657164)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1887452383:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (2657163)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1731660092_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % (2657166)dis+10_1_sil=32000:sp=arity:random_seed=3919804071:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (2657168)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1460834501:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % (2657167)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3396823253:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (2657169)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4029144797:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % TRYING [1]
% 0.16/0.47 % TRYING [2]
% 0.16/0.47 % TRYING [3]
% 0.16/0.47 % TRYING [4]
% 0.16/0.47 % TRYING [5]
% 0.16/0.47 % (2657164) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2657158-2657164"...
% 0.16/0.47 % (2657166) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2657158-2657166"...
% 0.16/0.47 % (2657164)...printing done.
% 0.16/0.47 % (2657166)...printing done.
% 0.16/0.47 % (2657164)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Theorem for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (2657164)------------------------------
% 0.16/0.47 % (2657164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (2657164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (2657164)CaDiCaL version: 2.1.3
% 0.16/0.47 % (2657164)Termination reason: Refutation
% 0.16/0.47 % (2657164)Time elapsed: 0.005 s
% 0.16/0.47 % (2657164)Peak memory usage: 12 MB
% 0.16/0.47 % (2657164)Instructions burned: 6 (million)
% 0.16/0.47 % (2657158)Success in time 0.05 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------