%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO175+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 : n002.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 09:53:48 AM UTC 2026
% Result : Theorem 0.14s 0.50s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 8
% Syntax : Number of formulae : 54 ( 14 unt; 1 def)
% Number of atoms : 149 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 139 ( 44 ~; 74 |; 13 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn 85 !; 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(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci3) ).
fof(f10,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci4) ).
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/sandbox2/benchmark/Axioms/GEO006+0.ax',cu1) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq3) ).
fof(f36,conjecture,
! [X0,X1,X2,X3] :
( ( distinct_points(X0,X1)
& convergent_lines(X2,X3)
& distinct_points(X0,intersection_point(X2,X3)) )
=> ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( distinct_points(X0,X1)
& convergent_lines(X2,X3)
& distinct_points(X0,intersection_point(X2,X3)) )
=> ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3) ) ),
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(f46,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f47,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f48,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(f49,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,[],[f48]) ).
fof(f54,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f55,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f54]) ).
fof(f76,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X3)
& distinct_points(X0,X1)
& convergent_lines(X2,X3)
& distinct_points(X0,intersection_point(X2,X3)) ),
inference(ennf_transformation,[],[f37]) ).
fof(f77,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X3)
& distinct_points(X0,X1)
& convergent_lines(X2,X3)
& distinct_points(X0,intersection_point(X2,X3)) ),
inference(flattening,[],[f76]) ).
fof(f80,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f83,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f86,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f87,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f88,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,[],[f49]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f114,plain,
distinct_points(sK0,intersection_point(sK2,sK3)),
inference(cnf_transformation,[],[f77]) ).
fof(f115,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f77]) ).
fof(f117,plain,
~ apart_point_and_line(sK0,sK3),
inference(cnf_transformation,[],[f77]) ).
fof(f118,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f77]) ).
fof(f125,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(consistent_polarity_flipping,[],[f88]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f137,plain,
~ distinct_points(sK0,intersection_point(sK2,sK3)),
inference(consistent_polarity_flipping,[],[f114]) ).
fof(f139,plain,
! [X0] :
( convergent_lines(sK3,X0)
| convergent_lines(sK2,X0) ),
inference(resolution,[],[f83,f115]) ).
fof(f148,plain,
! [X0,X1] :
( convergent_lines(sK2,X0)
| convergent_lines(X0,X1)
| convergent_lines(sK3,X1) ),
inference(resolution,[],[f139,f83]) ).
fof(f185,definition,
( spl4_3
<=> ! [X0] :
( convergent_lines(X0,sK2)
| convergent_lines(X0,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f186,plain,
( ! [X0] :
( convergent_lines(X0,sK3)
| convergent_lines(X0,sK2) )
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f227,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| apart_point_and_line(intersection_point(sK2,sK3),X1)
| apart_point_and_line(intersection_point(sK2,sK3),X0)
| apart_point_and_line(sK0,X1)
| apart_point_and_line(sK0,X0) ),
inference(resolution,[],[f125,f137]) ).
fof(f287,plain,
! [X0] :
( distinct_lines(sK3,X0)
| apart_point_and_line(intersection_point(sK2,sK3),X0)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK0,sK3)
| ~ convergent_lines(sK2,sK3) ),
inference(resolution,[],[f227,f87]) ).
fof(f296,plain,
! [X0] :
( distinct_lines(sK3,X0)
| apart_point_and_line(intersection_point(sK2,sK3),X0)
| apart_point_and_line(sK0,X0)
| ~ convergent_lines(sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f287,f117]) ).
fof(f300,plain,
! [X0] :
( apart_point_and_line(intersection_point(sK2,sK3),X0)
| distinct_lines(sK3,X0)
| apart_point_and_line(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f296,f115]) ).
fof(f358,plain,
! [X0] :
( convergent_lines(sK2,X0)
| convergent_lines(X0,sK3) ),
inference(resolution,[],[f148,f80]) ).
fof(f387,plain,
! [X0,X1] :
( convergent_lines(X0,sK3)
| convergent_lines(X0,X1)
| convergent_lines(sK2,X1) ),
inference(resolution,[],[f358,f83]) ).
fof(f577,plain,
! [X0] :
( convergent_lines(X0,sK3)
| convergent_lines(X0,sK2) ),
inference(resolution,[],[f387,f80]) ).
fof(f592,plain,
spl4_3,
inference(avatar_split_clause,[],[f577,f185]) ).
fof(f2322,plain,
( distinct_lines(sK3,sK2)
| apart_point_and_line(sK0,sK2)
| ~ convergent_lines(sK2,sK3) ),
inference(resolution,[],[f300,f86]) ).
fof(f2330,plain,
( distinct_lines(sK3,sK2)
| ~ convergent_lines(sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f2322,f118]) ).
fof(f2331,plain,
distinct_lines(sK3,sK2),
inference(forward_subsumption_resolution,[],[f2330,f115]) ).
fof(f2364,plain,
! [X0] :
( convergent_lines(X0,sK2)
| ~ convergent_lines(X0,sK3) ),
inference(resolution,[],[f2331,f128]) ).
fof(f2375,plain,
( ! [X0] : convergent_lines(X0,sK2)
| ~ spl4_3 ),
inference(forward_subsumption_resolution,[],[f2364,f186]) ).
fof(f2621,plain,
( $false
| ~ spl4_3 ),
inference(resolution,[],[f2375,f80]) ).
fof(f2649,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f2621]) ).
cnf(s4,plain,
spl4_3,
inference(sat_conversion,[],[f592]) ).
cnf(s22,plain,
~ spl4_3,
inference(sat_conversion,[],[f2649]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s4,s22]) ).
fof(f2650,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO175+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n002.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 07:26:37 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.14/0.50 % (3203307)Will run a generic schedule for satisfiability detection.
% 0.14/0.50 % (3203313)% WARNING: option uhcvi not known.
% 0.14/0.50 % (3203313)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1917956217:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.50 % (3203312)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3330574835_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.50 % (3203314)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4089655661:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.50 % (3203315)dis+10_1_sil=32000:sp=arity:random_seed=3394334865:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.50 % (3203316)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2404699460:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.50 % (3203318)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=656651361:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.50 % (3203317)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1758076161:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.50 % TRYING [1]
% 0.14/0.50 % TRYING [2]
% 0.14/0.50 % TRYING [3]
% 0.14/0.50 % TRYING [4]
% 0.14/0.50 % TRYING [5]
% 0.14/0.50 % TRYING [6]
% 0.14/0.50 % TRYING [7]
% 0.14/0.50 % TRYING [8]
% 0.14/0.50 % (3203313) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3203307-3203313"...
% 0.14/0.50 % (3203313)...printing done.
% 0.14/0.50 % (3203313)Refutation found. Thanks to Tanya!
% 0.14/0.50 % SZS status Theorem for theBenchmark
% 0.14/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.50 % (3203313)------------------------------
% 0.14/0.50 % (3203313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.50 % (3203313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.50 % (3203313)CaDiCaL version: 2.1.3
% 0.14/0.50 % (3203313)Termination reason: Refutation
% 0.14/0.50 % (3203313)Time elapsed: 0.052 s
% 0.14/0.50 % (3203313)Peak memory usage: 13 MB
% 0.14/0.50 % (3203313)Instructions burned: 172 (million)
% 0.14/0.50 % (3203307)Success in time 0.078 s
% 0.14/0.50 % Vampire exiting
%------------------------------------------------------------------------------