%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO228+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 09:54:09 AM UTC 2026
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 47 ( 5 unt; 3 def)
% Number of atoms : 106 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 111 ( 52 ~; 51 |; 1 &)
% ( 6 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 20 ( 0 sgn 18 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
<=> ( unequally_directed_lines(X0,X1)
& unequally_directed_lines(X0,reverse_line(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO007+0.ax',con_def) ).
fof(f32,conjecture,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
<=> ( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X1] :
( ~ convergent_lines(X0,X1)
<=> ( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f70,plain,
? [X0,X1] :
( ~ convergent_lines(X0,X1)
<~> ( ~ unequally_directed_lines(X0,X1)
| ~ unequally_directed_lines(X0,reverse_line(X1)) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f73,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f74,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f75,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f109,plain,
( unequally_directed_lines(sK0,reverse_line(sK1))
| convergent_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f110,plain,
( unequally_directed_lines(sK0,sK1)
| convergent_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f111,plain,
( ~ unequally_directed_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1)
| ~ convergent_lines(sK0,sK1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f114,plain,
! [X0,X1] :
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f75]) ).
fof(f115,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| unequally_directed_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f74]) ).
fof(f116,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| convergent_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f73]) ).
fof(f136,plain,
( ~ unequally_directed_lines(sK0,reverse_line(sK1))
| ~ unequally_directed_lines(sK0,sK1)
| convergent_lines(sK0,sK1) ),
inference(consistent_polarity_flipping,[],[f111]) ).
fof(f137,plain,
( unequally_directed_lines(sK0,sK1)
| ~ convergent_lines(sK0,sK1) ),
inference(consistent_polarity_flipping,[],[f110]) ).
fof(f138,plain,
( unequally_directed_lines(sK0,reverse_line(sK1))
| ~ convergent_lines(sK0,sK1) ),
inference(consistent_polarity_flipping,[],[f109]) ).
fof(f140,definition,
( spl2_1
<=> convergent_lines(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f141,plain,
( convergent_lines(sK0,sK1)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f142,plain,
( ~ convergent_lines(sK0,sK1)
| spl2_1 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f144,definition,
( spl2_2
<=> unequally_directed_lines(sK0,reverse_line(sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f145,plain,
( ~ unequally_directed_lines(sK0,reverse_line(sK1))
| spl2_2 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f146,plain,
( unequally_directed_lines(sK0,reverse_line(sK1))
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f147,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f138,f144,f140]) ).
fof(f149,definition,
( spl2_3
<=> unequally_directed_lines(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f151,plain,
( unequally_directed_lines(sK0,sK1)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f152,plain,
( ~ spl2_1
| spl2_3 ),
inference(avatar_split_clause,[],[f137,f149,f140]) ).
fof(f153,plain,
( spl2_1
| ~ spl2_3
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f136,f144,f149,f140]) ).
fof(f154,plain,
( unequally_directed_lines(sK0,sK1)
| spl2_1 ),
inference(resolution,[],[f115,f142]) ).
fof(f157,plain,
( spl2_3
| spl2_1 ),
inference(avatar_split_clause,[],[f154,f140,f149]) ).
fof(f160,plain,
( convergent_lines(sK0,sK1)
| spl2_2 ),
inference(resolution,[],[f116,f145]) ).
fof(f161,plain,
( $false
| spl2_1
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f160,f142]) ).
fof(f162,plain,
( spl2_1
| spl2_2 ),
inference(avatar_contradiction_clause,[],[f161]) ).
fof(f170,plain,
( ~ unequally_directed_lines(sK0,sK1)
| ~ convergent_lines(sK0,sK1)
| ~ spl2_2 ),
inference(resolution,[],[f114,f146]) ).
fof(f172,plain,
( ~ convergent_lines(sK0,sK1)
| ~ spl2_2
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f170,f151]) ).
fof(f173,plain,
( $false
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f172,f141]) ).
fof(f174,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(avatar_contradiction_clause,[],[f173]) ).
cnf(s1,plain,
( ~ spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f147]) ).
cnf(s2,plain,
( ~ spl2_1
| spl2_3 ),
inference(sat_conversion,[],[f152]) ).
cnf(s3,plain,
( spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(sat_conversion,[],[f153]) ).
cnf(s5,plain,
( spl2_1
| spl2_3 ),
inference(sat_conversion,[],[f157]) ).
cnf(s6,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f162]) ).
cnf(s7,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(sat_conversion,[],[f174]) ).
cnf(s8,plain,
spl2_1,
inference(rat,[],[s3,s5,s6]) ).
cnf(s9,plain,
spl2_3,
inference(rat,[],[s2,s8]) ).
cnf(s10,plain,
spl2_2,
inference(rat,[],[s1,s8]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s7,s9,s8,s10]) ).
fof(f175,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO228+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n003.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 07:47:56 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44 Running first-order model finding
% 0.12/0.44 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
% 0.19/0.49 % (173399)Will run a generic schedule for satisfiability detection.
% 0.19/0.49 % (173404)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=349573953_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 % (173405)% WARNING: option uhcvi not known.
% 0.19/0.49 % TRYING [4]
% 0.19/0.49 % TRYING [5]
% 0.19/0.49 % (173405)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=823275551:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.49 % (173406)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=821485622:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.49 % (173407)dis+10_1_sil=32000:sp=arity:random_seed=3430454335:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.49 % (173408)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=542607813:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.49 % (173409)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3465513495:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.49 % (173410)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1356332210:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.49 % (173405) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-173399-173405"...
% 0.19/0.49 % (173406) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-173399-173406"...
% 0.19/0.49 % (173407) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-173399-173407"...
% 0.19/0.49 % (173409) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-173399-173409"...
% 0.19/0.49 % (173408) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-173399-173408"...
% 0.19/0.49 % (173405)...printing done.
% 0.19/0.49 % (173410) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-173399-173410"...
% 0.19/0.49 % TRYING [6]
% 0.19/0.49 % (173407)...printing done.
% 0.19/0.49 % (173405)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 % (173405)------------------------------
% 0.19/0.49 % (173405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.49 % (173405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.49 % (173405)CaDiCaL version: 2.1.3
% 0.19/0.49 % (173405)Termination reason: Refutation
% 0.19/0.49 % (173405)Time elapsed: 0.003 s
% 0.19/0.49 % (173405)Peak memory usage: 12 MB
% 0.19/0.49 % (173405)Instructions burned: 2 (million)
% 0.19/0.49 % (173399)Success in time 0.04 s
% 0.19/0.49 % Vampire exiting
%------------------------------------------------------------------------------