%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO223+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 : n018.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 09:54:07 AM UTC 2026
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 62 ( 24 unt; 3 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 130 ( 51 ~; 66 |; 7 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 84 ( 0 sgn 82 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+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/GEO008+0.ax',apart6) ).
fof(f13,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp1) ).
fof(f14,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp2) ).
fof(f16,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',occu1) ).
fof(f17,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/sandbox2/benchmark/Axioms/GEO006+3.ax',oac1) ).
fof(f18,axiom,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',ooc1) ).
fof(f19,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',ooc2) ).
fof(f20,axiom,
! [X0,X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',ouo1) ).
fof(f21,conjecture,
! [X0,X1] : ~ distinct_lines(parallel_through_point(X1,X0),orthogonal_through_point(orthogonal_through_point(X1,X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f22,negated_conjecture,
~ ! [X0,X1] : ~ distinct_lines(parallel_through_point(X1,X0),orthogonal_through_point(orthogonal_through_point(X1,X0),X0)),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f27,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f28,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( convergent_lines(X0,X2)
& unorthogonal_lines(X0,X2) )
| ( convergent_lines(X1,X2)
& unorthogonal_lines(X1,X2) )
| ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ( convergent_lines(X0,X2)
& unorthogonal_lines(X0,X2) )
| ( convergent_lines(X1,X2)
& unorthogonal_lines(X1,X2) )
| ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f45,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
? [X0,X1] : distinct_lines(parallel_through_point(X1,X0),orthogonal_through_point(orthogonal_through_point(X1,X0),X0)),
inference(ennf_transformation,[],[f22]) ).
fof(f49,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f61,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f13]) ).
fof(f62,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f14]) ).
fof(f64,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X0,X1)
| unorthogonal_lines(X1,X2)
| ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f69,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f18]) ).
fof(f70,plain,
! [X0,X1] : ~ apart_point_and_line(X0,orthogonal_through_point(X1,X0)),
inference(cnf_transformation,[],[f19]) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X1,X2)
| unorthogonal_lines(X2,X3)
| unorthogonal_lines(X1,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f72,plain,
distinct_lines(parallel_through_point(sK1,sK0),orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0)),
inference(cnf_transformation,[],[f46]) ).
fof(f74,plain,
! [X0,X1] : convergent_lines(orthogonal_through_point(X0,X1),X0),
inference(resolution,[],[f64,f69]) ).
fof(f105,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X0) ),
inference(resolution,[],[f52,f49]) ).
fof(f215,definition,
( spl2_3
<=> ! [X0] :
( apart_point_and_line(X0,parallel_through_point(sK1,sK0))
| apart_point_and_line(X0,orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f216,plain,
( ! [X0] :
( apart_point_and_line(X0,orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0))
| apart_point_and_line(X0,parallel_through_point(sK1,sK0)) )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f227,plain,
( apart_point_and_line(sK0,parallel_through_point(sK1,sK0))
| ~ spl2_3 ),
inference(resolution,[],[f216,f70]) ).
fof(f228,plain,
( $false
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f227,f62]) ).
fof(f229,plain,
~ spl2_3,
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X2,orthogonal_through_point(X0,X1))
| ~ convergent_lines(X2,orthogonal_through_point(X0,X1))
| convergent_lines(X2,X0) ),
inference(resolution,[],[f68,f69]) ).
fof(f289,plain,
! [X0,X1] :
( unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),X0)
| unorthogonal_lines(parallel_through_point(sK1,sK0),X0)
| apart_point_and_line(X1,orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0))
| apart_point_and_line(X1,parallel_through_point(sK1,sK0)) ),
inference(resolution,[],[f71,f72]) ).
fof(f312,definition,
( spl2_6
<=> ! [X0] :
( unorthogonal_lines(parallel_through_point(sK1,sK0),X0)
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f313,plain,
( ! [X0] :
( unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),X0)
| unorthogonal_lines(parallel_through_point(sK1,sK0),X0) )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f315,plain,
( spl2_3
| spl2_6 ),
inference(avatar_split_clause,[],[f289,f312,f215]) ).
fof(f370,plain,
( unorthogonal_lines(parallel_through_point(sK1,sK0),orthogonal_through_point(sK1,sK0))
| ~ spl2_6 ),
inference(resolution,[],[f313,f69]) ).
fof(f386,plain,
! [X0,X1] : ~ convergent_lines(X0,parallel_through_point(X0,X1)),
inference(resolution,[],[f105,f61]) ).
fof(f394,definition,
( spl2_7
<=> convergent_lines(parallel_through_point(sK1,sK0),orthogonal_through_point(sK1,sK0)) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f395,plain,
( convergent_lines(parallel_through_point(sK1,sK0),orthogonal_through_point(sK1,sK0))
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f396,plain,
( ~ convergent_lines(parallel_through_point(sK1,sK0),orthogonal_through_point(sK1,sK0))
| spl2_7 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f429,plain,
( ~ convergent_lines(orthogonal_through_point(sK1,sK0),parallel_through_point(sK1,sK0))
| spl2_7 ),
inference(resolution,[],[f396,f105]) ).
fof(f448,plain,
( ! [X0] :
( ~ convergent_lines(orthogonal_through_point(sK1,sK0),X0)
| convergent_lines(X0,parallel_through_point(sK1,sK0)) )
| spl2_7 ),
inference(resolution,[],[f429,f52]) ).
fof(f839,plain,
( convergent_lines(sK1,parallel_through_point(sK1,sK0))
| spl2_7 ),
inference(resolution,[],[f448,f74]) ).
fof(f860,plain,
( $false
| spl2_7 ),
inference(forward_subsumption_resolution,[],[f839,f386]) ).
fof(f861,plain,
spl2_7,
inference(avatar_contradiction_clause,[],[f860]) ).
fof(f939,plain,
( ~ convergent_lines(parallel_through_point(sK1,sK0),orthogonal_through_point(sK1,sK0))
| convergent_lines(parallel_through_point(sK1,sK0),sK1)
| ~ spl2_6 ),
inference(resolution,[],[f269,f370]) ).
fof(f942,plain,
( convergent_lines(parallel_through_point(sK1,sK0),sK1)
| ~ spl2_6
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f939,f395]) ).
fof(f947,plain,
( $false
| ~ spl2_6
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f942,f61]) ).
fof(f948,plain,
( ~ spl2_6
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f947]) ).
cnf(s4,plain,
~ spl2_3,
inference(sat_conversion,[],[f229]) ).
cnf(s6,plain,
( spl2_3
| spl2_6 ),
inference(sat_conversion,[],[f315]) ).
cnf(s10,plain,
spl2_7,
inference(sat_conversion,[],[f861]) ).
cnf(s11,plain,
( ~ spl2_6
| ~ spl2_7 ),
inference(sat_conversion,[],[f948]) ).
cnf(s12,plain,
~ spl2_6,
inference(rat,[],[s11,s10]) ).
cnf(s13,plain,
spl2_3,
inference(rat,[],[s6,s12]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s4,s13]) ).
fof(f949,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO223+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n018.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 07:46:23 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 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
% 0.18/0.49 % (1998337)Will run a generic schedule for satisfiability detection.
% 0.18/0.49 % (1998343)% WARNING: option uhcvi not known.
% 0.18/0.49 % (1998343)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=394076511:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.49 % (1998342)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=423242818_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.49 % (1998344)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3654798710:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.49 % (1998347)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3612985926:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.49 % (1998345)dis+10_1_sil=32000:sp=arity:random_seed=2855461514:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.49 % (1998346)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2597447421:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.49 % (1998348)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=669952758:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.49 % TRYING [1]
% 0.18/0.49 % TRYING [2]
% 0.18/0.49 % TRYING [3]
% 0.18/0.49 % TRYING [4]
% 0.18/0.49 % TRYING [5]
% 0.18/0.49 % TRYING [6]
% 0.18/0.49 % TRYING [7]
% 0.18/0.49 % (1998346) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1998337-1998346"...
% 0.18/0.49 % (1998346)...printing done.
% 0.18/0.49 % TRYING [8]
% 0.18/0.49 % (1998346)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Theorem for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (1998346)------------------------------
% 0.18/0.49 % (1998346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.49 % (1998346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.49 % (1998346)CaDiCaL version: 2.1.3
% 0.18/0.49 % (1998346)Termination reason: Refutation
% 0.18/0.49 % (1998346)Time elapsed: 0.040 s
% 0.18/0.49 % (1998346)Peak memory usage: 13 MB
% 0.18/0.49 % (1998346)Instructions burned: 73 (million)
% 0.18/0.49 % (1998337)Success in time 0.078 s
% 0.18/0.49 % Vampire exiting
%------------------------------------------------------------------------------