%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO217+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 : n026.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 09:54:04 AM UTC 2026
% Result : Theorem 0.03s 5.48s
% Output : Refutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 12 unt; 2 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 68 ( 28 ~; 29 |; 6 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 41 ( 0 sgn 35 !; 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(f18,conjecture,
! [X0,X1,X2] :
( ( ~ convergent_lines(X0,X1)
& ~ convergent_lines(X0,X2) )
=> ~ convergent_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f19,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ convergent_lines(X0,X1)
& ~ convergent_lines(X0,X2) )
=> ~ convergent_lines(X1,X2) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f24,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f25,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f24]) ).
fof(f43,plain,
? [X0,X1,X2] :
( convergent_lines(X1,X2)
& ~ convergent_lines(X0,X1)
& ~ convergent_lines(X0,X2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f44,plain,
? [X0,X1,X2] :
( convergent_lines(X1,X2)
& ~ convergent_lines(X0,X1)
& ~ convergent_lines(X0,X2) ),
inference(flattening,[],[f43]) ).
fof(f47,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f65,plain,
~ convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f66,plain,
~ convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f44]) ).
fof(f67,plain,
convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f68,plain,
! [X0] :
( convergent_lines(sK2,X0)
| convergent_lines(sK1,X0) ),
inference(resolution,[],[f50,f67]) ).
fof(f70,plain,
! [X0,X1] :
( convergent_lines(sK1,X0)
| convergent_lines(X0,X1)
| convergent_lines(sK2,X1) ),
inference(resolution,[],[f68,f50]) ).
fof(f71,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X1)
| convergent_lines(sK2,X1)
| convergent_lines(X0,X2)
| convergent_lines(sK1,X2) ),
inference(resolution,[],[f70,f50]) ).
fof(f139,definition,
( spl3_3
<=> ! [X0] :
( convergent_lines(X0,sK2)
| convergent_lines(X0,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f140,plain,
( ! [X0] :
( convergent_lines(X0,sK2)
| convergent_lines(X0,sK1) )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f168,plain,
! [X0,X1] :
( convergent_lines(X0,sK2)
| convergent_lines(X0,X1)
| convergent_lines(sK1,X1) ),
inference(resolution,[],[f71,f47]) ).
fof(f199,definition,
( spl3_7
<=> ! [X0,X1] :
( convergent_lines(X0,sK2)
| convergent_lines(sK1,X1)
| convergent_lines(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f200,plain,
( ! [X0,X1] :
( convergent_lines(X0,sK2)
| convergent_lines(sK1,X1)
| convergent_lines(X0,X1) )
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f202,plain,
spl3_7,
inference(avatar_split_clause,[],[f168,f199]) ).
fof(f697,plain,
( ! [X0] :
( convergent_lines(X0,sK2)
| convergent_lines(X0,sK1) )
| ~ spl3_7 ),
inference(resolution,[],[f200,f47]) ).
fof(f724,plain,
( spl3_3
| ~ spl3_7 ),
inference(avatar_split_clause,[],[f697,f199,f139]) ).
fof(f725,plain,
( convergent_lines(sK0,sK1)
| ~ spl3_3 ),
inference(resolution,[],[f140,f65]) ).
fof(f737,plain,
( $false
| ~ spl3_3 ),
inference(forward_subsumption_resolution,[],[f725,f66]) ).
fof(f738,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f737]) ).
cnf(s5,plain,
spl3_7,
inference(sat_conversion,[],[f202]) ).
cnf(s65,plain,
( spl3_3
| ~ spl3_7 ),
inference(sat_conversion,[],[f724]) ).
cnf(s66,plain,
~ spl3_3,
inference(sat_conversion,[],[f738]) ).
cnf(s67,plain,
~ spl3_7,
inference(rat,[],[s65,s66]) ).
cnf(s69,plain,
$false,
inference(rat,[],[s5,s67]) ).
fof(f739,plain,
$false,
inference(avatar_sat_refutation,[],[s69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO217+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.03/5.40 % Computer : n026.cluster.edu
% 0.03/5.40 % Model : x86_64 x86_64
% 0.03/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/5.40 % Memory : 8046.5625MB
% 0.03/5.40 % OS : Linux 6.8.0-71-generic
% 0.03/5.40 % CPULimit : 300
% 0.03/5.40 % WCLimit : 300
% 0.03/5.40 % DateTime : Sun Sep 27 07:44:31 UTC 2026
% 0.03/5.40 % CPUTime :
% 0.03/5.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.03/5.43 Running first-order model finding
% 0.03/5.43 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
% 0.03/5.48 % (2502955)Will run a generic schedule for satisfiability detection.
% 0.03/5.48 % (2502961)% WARNING: option uhcvi not known.
% 0.03/5.48 % (2502961)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4052415437:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.03/5.48 % (2502960)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1562502781_2999 on theBenchmark for (2999ds/0Mi)
% 0.03/5.48 % (2502962)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2792486719:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.03/5.48 % (2502965)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4138911854:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.03/5.48 % (2502963)dis+10_1_sil=32000:sp=arity:random_seed=1128780123:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.03/5.48 % (2502964)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2092911419:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.03/5.48 % (2502966)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1774288583:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.03/5.48 % TRYING [1]
% 0.03/5.48 % TRYING [2]
% 0.03/5.48 % TRYING [3]
% 0.03/5.48 % (2502961) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2502955-2502961"...
% 0.03/5.48 % TRYING [4]
% 0.03/5.48 % (2502966) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2502955-2502966"...
% 0.03/5.48 % (2502962) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2502955-2502962"...
% 0.03/5.48 % (2502961)...printing done.
% 0.03/5.48 % (2502961)Refutation found. Thanks to Tanya!
% 0.03/5.48 % SZS status Theorem for theBenchmark
% 0.03/5.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.03/5.48 % (2502961)------------------------------
% 0.03/5.48 % (2502961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.03/5.48 % (2502961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.03/5.48 % (2502961)CaDiCaL version: 2.1.3
% 0.03/5.48 % (2502961)Termination reason: Refutation
% 0.03/5.48 % (2502961)Time elapsed: 0.009 s
% 0.03/5.48 % (2502961)Peak memory usage: 12 MB
% 0.03/5.48 % (2502961)Instructions burned: 27 (million)
% 0.03/5.48 % (2502955)Success in time 0.04 s
% 0.03/5.48 % Vampire exiting
%------------------------------------------------------------------------------