%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO176+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 : n005.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 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 10 unt; 2 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 72 ( 28 ~; 26 |; 12 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 29 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
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(f13,conjecture,
! [X0,X1,X2,X3] :
( ( distinct_points(X0,X1)
& convergent_lines(X2,X3)
& ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3) ) )
=> distinct_points(X0,intersection_point(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( distinct_points(X0,X1)
& convergent_lines(X2,X3)
& ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3) ) )
=> distinct_points(X0,intersection_point(X2,X3)) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
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(f32,plain,
? [X0,X1,X2,X3] :
( ~ distinct_points(X0,intersection_point(X2,X3))
& distinct_points(X0,X1)
& convergent_lines(X2,X3)
& ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f33,plain,
? [X0,X1,X2,X3] :
( ~ distinct_points(X0,intersection_point(X2,X3))
& distinct_points(X0,X1)
& convergent_lines(X2,X3)
& ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3) ) ),
inference(flattening,[],[f32]) ).
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(f48,plain,
( apart_point_and_line(sK0,sK3)
| apart_point_and_line(sK0,sK2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f49,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f33]) ).
fof(f51,plain,
~ distinct_points(sK0,intersection_point(sK2,sK3)),
inference(cnf_transformation,[],[f33]) ).
fof(f56,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(f57,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(f61,plain,
distinct_points(sK0,intersection_point(sK2,sK3)),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f63,plain,
( ~ apart_point_and_line(sK0,sK3)
| ~ apart_point_and_line(sK0,sK2) ),
inference(consistent_polarity_flipping,[],[f48]) ).
fof(f65,definition,
( spl4_1
<=> apart_point_and_line(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f69,definition,
( spl4_2
<=> apart_point_and_line(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f71,plain,
( ~ apart_point_and_line(sK0,sK3)
| spl4_2 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f72,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f63,f69,f65]) ).
fof(f87,plain,
( apart_point_and_line(sK0,sK2)
| ~ convergent_lines(sK2,sK3) ),
inference(resolution,[],[f56,f61]) ).
fof(f92,plain,
apart_point_and_line(sK0,sK2),
inference(forward_subsumption_resolution,[],[f87,f49]) ).
fof(f93,plain,
spl4_1,
inference(avatar_split_clause,[],[f92,f65]) ).
fof(f96,plain,
( apart_point_and_line(sK0,sK3)
| ~ convergent_lines(sK2,sK3) ),
inference(resolution,[],[f57,f61]) ).
fof(f98,plain,
( ~ convergent_lines(sK2,sK3)
| spl4_2 ),
inference(forward_subsumption_resolution,[],[f96,f71]) ).
fof(f99,plain,
( $false
| spl4_2 ),
inference(forward_subsumption_resolution,[],[f98,f49]) ).
fof(f100,plain,
spl4_2,
inference(avatar_contradiction_clause,[],[f99]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f72]) ).
cnf(s3,plain,
spl4_1,
inference(sat_conversion,[],[f93]) ).
cnf(s4,plain,
spl4_2,
inference(sat_conversion,[],[f100]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
fof(f101,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO176+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n005.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 07:23:48 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.17/0.48 % (3650461)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (3650468)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2092409263:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48 % (3650467)% WARNING: option uhcvi not known.
% 0.17/0.48 % (3650466)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2601993050_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48 % (3650467)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1841145961:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48 % (3650470)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2475299668:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % (3650471)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2173214814:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % (3650469)dis+10_1_sil=32000:sp=arity:random_seed=1202663764:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48 % (3650472)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3192068828:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48 % TRYING [1]
% 0.17/0.48 % TRYING [2]
% 0.17/0.48 % TRYING [3]
% 0.17/0.48 % (3650467) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3650461-3650467"...
% 0.17/0.48 % (3650469) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3650461-3650469"...
% 0.17/0.48 % TRYING [4]
% 0.17/0.48 % (3650471) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3650461-3650471"...
% 0.17/0.48 % (3650467)...printing done.
% 0.17/0.48 % (3650470) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3650461-3650470"...
% 0.17/0.48 % (3650469)...printing done.
% 0.17/0.48 % TRYING [5]
% 0.17/0.48 % (3650467)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Theorem for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (3650467)------------------------------
% 0.17/0.48 % (3650467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (3650467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (3650467)CaDiCaL version: 2.1.3
% 0.17/0.48 % (3650467)Termination reason: Refutation
% 0.17/0.48 % (3650467)Time elapsed: 0.002 s
% 0.17/0.48 % (3650467)Peak memory usage: 12 MB
% 0.17/0.48 % (3650467)Instructions burned: 2 (million)
% 0.17/0.48 % (3650461)Success in time 0.04 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------