%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO218+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:54:05 AM UTC 2026
% Result : Theorem 0.14s 0.47s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 50 ( 15 unt; 1 def)
% Number of atoms : 113 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 106 ( 43 ~; 41 |; 14 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 64 ( 0 sgn 58 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO006+0.ax',ax6) ).
fof(f19,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+3.ax',occu1) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( ( ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1) )
& ( ~ convergent_lines(X0,X2)
| ~ unorthogonal_lines(X0,X2) ) )
=> ( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+4.ax',cotno1) ).
fof(f33,axiom,
! [X0,X1] :
( parallel_lines(X0,X1)
<=> ~ convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a3) ).
fof(f35,axiom,
! [X0,X1] :
( orthogonal_lines(X0,X1)
<=> ~ unorthogonal_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a5) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( parallel_lines(X0,X1)
& orthogonal_lines(X0,X2) )
=> orthogonal_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( parallel_lines(X0,X1)
& orthogonal_lines(X0,X2) )
=> orthogonal_lines(X1,X2) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( parallel_lines(X0,X1)
=> ~ convergent_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
fof(f43,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f44,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f43]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2)
| ( convergent_lines(X0,X1)
& unorthogonal_lines(X0,X1) )
| ( convergent_lines(X0,X2)
& unorthogonal_lines(X0,X2) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X1,X2)
| ~ unorthogonal_lines(X1,X2)
| ( convergent_lines(X0,X1)
& unorthogonal_lines(X0,X1) )
| ( convergent_lines(X0,X2)
& unorthogonal_lines(X0,X2) ) ),
inference(flattening,[],[f65]) ).
fof(f77,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f78,plain,
? [X0,X1,X2] :
( ~ orthogonal_lines(X1,X2)
& parallel_lines(X0,X1)
& orthogonal_lines(X0,X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f79,plain,
? [X0,X1,X2] :
( ~ orthogonal_lines(X1,X2)
& parallel_lines(X0,X1)
& orthogonal_lines(X0,X2) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( ( orthogonal_lines(X0,X1)
| unorthogonal_lines(X0,X1) )
& ( ~ unorthogonal_lines(X0,X1)
| ~ orthogonal_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f81,plain,
( ~ orthogonal_lines(sK1,sK2)
& parallel_lines(sK0,sK1)
& orthogonal_lines(sK0,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f79]) ).
fof(f84,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f100,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2)
| convergent_lines(X0,X1)
| unorthogonal_lines(X0,X2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f118,plain,
! [X0,X1] :
( ~ parallel_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f119,plain,
! [X0,X1] :
( ~ orthogonal_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f120,plain,
! [X0,X1] :
( orthogonal_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f121,plain,
orthogonal_lines(sK0,sK2),
inference(cnf_transformation,[],[f81]) ).
fof(f122,plain,
parallel_lines(sK0,sK1),
inference(cnf_transformation,[],[f81]) ).
fof(f123,plain,
~ orthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f81]) ).
fof(f125,plain,
~ convergent_lines(sK0,sK1),
inference(resolution,[],[f118,f122]) ).
fof(f126,plain,
~ unorthogonal_lines(sK0,sK2),
inference(resolution,[],[f119,f121]) ).
fof(f127,plain,
unorthogonal_lines(sK1,sK2),
inference(resolution,[],[f120,f123]) ).
fof(f129,plain,
convergent_lines(sK0,sK2),
inference(resolution,[],[f126,f100]) ).
fof(f131,plain,
! [X0] :
( convergent_lines(sK2,X0)
| convergent_lines(sK0,X0) ),
inference(resolution,[],[f87,f129]) ).
fof(f133,plain,
! [X0,X1] :
( convergent_lines(sK0,X0)
| convergent_lines(X0,X1)
| convergent_lines(sK2,X1) ),
inference(resolution,[],[f131,f87]) ).
fof(f138,plain,
! [X0] :
( convergent_lines(sK0,X0)
| convergent_lines(X0,sK2) ),
inference(resolution,[],[f133,f84]) ).
fof(f179,definition,
( spl3_1
<=> convergent_lines(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f180,plain,
( convergent_lines(sK1,sK2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f181,plain,
( ~ convergent_lines(sK1,sK2)
| spl3_1 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f186,plain,
( convergent_lines(sK0,sK1)
| spl3_1 ),
inference(resolution,[],[f181,f138]) ).
fof(f187,plain,
( $false
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f186,f125]) ).
fof(f188,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f187]) ).
fof(f221,plain,
! [X0] :
( ~ convergent_lines(sK1,sK2)
| convergent_lines(X0,sK1)
| unorthogonal_lines(X0,sK2) ),
inference(resolution,[],[f111,f127]) ).
fof(f226,plain,
( ! [X0] :
( unorthogonal_lines(X0,sK2)
| convergent_lines(X0,sK1) )
| ~ spl3_1 ),
inference(forward_subsumption_resolution,[],[f221,f180]) ).
fof(f254,plain,
( convergent_lines(sK0,sK1)
| ~ spl3_1 ),
inference(resolution,[],[f226,f126]) ).
fof(f261,plain,
( $false
| ~ spl3_1 ),
inference(forward_subsumption_resolution,[],[f254,f125]) ).
fof(f262,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f261]) ).
cnf(s2,plain,
spl3_1,
inference(sat_conversion,[],[f188]) ).
cnf(s5,plain,
~ spl3_1,
inference(sat_conversion,[],[f262]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s2,s5]) ).
fof(f263,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO218+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n005.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 07:41:47 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.14/0.47 % (3658919)Will run a generic schedule for satisfiability detection.
% 0.14/0.47 % (3658925)% WARNING: option uhcvi not known.
% 0.14/0.47 % (3658925)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4261676145:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.47 % (3658924)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1623447106_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.47 % (3658926)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3405796243:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.47 % (3658927)dis+10_1_sil=32000:sp=arity:random_seed=2922852161:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.47 % (3658928)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3625571339:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.47 % (3658930)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=383287082:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.47 % (3658929)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3475239148:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.47 % TRYING [1]
% 0.14/0.47 % TRYING [2]
% 0.14/0.47 % TRYING [3]
% 0.14/0.47 % TRYING [4]
% 0.14/0.47 % (3658927) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3658919-3658927"...
% 0.14/0.47 % (3658929) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3658919-3658929"...
% 0.14/0.47 % (3658927)...printing done.
% 0.14/0.47 % TRYING [5]
% 0.14/0.47 % (3658927)Refutation found. Thanks to Tanya!
% 0.14/0.47 % SZS status Theorem for theBenchmark
% 0.14/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.47 % (3658927)------------------------------
% 0.14/0.47 % (3658927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.47 % (3658927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.47 % (3658927)CaDiCaL version: 2.1.3
% 0.14/0.47 % (3658927)Termination reason: Refutation
% 0.14/0.47 % (3658927)Time elapsed: 0.005 s
% 0.14/0.47 % (3658927)Peak memory usage: 12 MB
% 0.14/0.47 % (3658927)Instructions burned: 6 (million)
% 0.14/0.47 % (3658919)Success in time 0.044 s
% 0.14/0.47 % Vampire exiting
%------------------------------------------------------------------------------