%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO206+1 : 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 : n011.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 09:54:00 AM UTC 2026
% Result : Theorem 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 16 unt; 2 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 84 ( 37 ~; 35 |; 6 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 57 ( 0 sgn 51 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ax6) ).
fof(f15,axiom,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp1) ).
fof(f16,axiom,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cp2) ).
fof(f17,axiom,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
=> ( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+2.ax',cup1) ).
fof(f18,conjecture,
! [X0,X1,X2] :
( ( ~ apart_point_and_line(X0,X1)
& ~ convergent_lines(X1,X2) )
=> ~ distinct_lines(X1,parallel_through_point(X2,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f19,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ apart_point_and_line(X0,X1)
& ~ convergent_lines(X1,X2) )
=> ~ distinct_lines(X1,parallel_through_point(X2,X0)) ),
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(f38,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| convergent_lines(X1,X2)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f39,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| convergent_lines(X1,X2)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
? [X0,X1,X2] :
( distinct_lines(X1,parallel_through_point(X2,X0))
& ~ apart_point_and_line(X0,X1)
& ~ convergent_lines(X1,X2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f41,plain,
? [X0,X1,X2] :
( distinct_lines(X1,parallel_through_point(X2,X0))
& ~ apart_point_and_line(X0,X1)
& ~ convergent_lines(X1,X2) ),
inference(flattening,[],[f40]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f56,plain,
! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f15]) ).
fof(f57,plain,
! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
inference(cnf_transformation,[],[f16]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X2)
| convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f59,plain,
~ convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f41]) ).
fof(f60,plain,
~ apart_point_and_line(sK0,sK1),
inference(cnf_transformation,[],[f41]) ).
fof(f61,plain,
distinct_lines(sK1,parallel_through_point(sK2,sK0)),
inference(cnf_transformation,[],[f41]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X2)
| ~ convergent_lines(X1,X2)
| convergent_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f47]) ).
fof(f73,plain,
! [X0,X1] : convergent_lines(parallel_through_point(X1,X0),X1),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X2)
| ~ convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ),
inference(consistent_polarity_flipping,[],[f58]) ).
fof(f75,plain,
convergent_lines(sK1,sK2),
inference(consistent_polarity_flipping,[],[f59]) ).
fof(f78,plain,
! [X0] :
( ~ convergent_lines(X0,sK2)
| convergent_lines(sK1,X0) ),
inference(resolution,[],[f65,f75]) ).
fof(f84,plain,
! [X0] :
( ~ convergent_lines(sK1,parallel_through_point(sK2,sK0))
| apart_point_and_line(X0,parallel_through_point(sK2,sK0))
| apart_point_and_line(X0,sK1) ),
inference(resolution,[],[f74,f61]) ).
fof(f86,definition,
( spl3_1
<=> ! [X0] :
( apart_point_and_line(X0,parallel_through_point(sK2,sK0))
| apart_point_and_line(X0,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f87,plain,
( ! [X0] :
( apart_point_and_line(X0,parallel_through_point(sK2,sK0))
| apart_point_and_line(X0,sK1) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,definition,
( spl3_2
<=> convergent_lines(sK1,parallel_through_point(sK2,sK0)) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f91,plain,
( ~ convergent_lines(sK1,parallel_through_point(sK2,sK0))
| spl3_2 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f84,f89,f86]) ).
fof(f96,plain,
! [X0] : convergent_lines(sK1,parallel_through_point(sK2,X0)),
inference(resolution,[],[f78,f73]) ).
fof(f97,plain,
( $false
| spl3_2 ),
inference(backward_subsumption_resolution,[],[f91,f96]) ).
fof(f100,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f97]) ).
fof(f109,plain,
( apart_point_and_line(sK0,sK1)
| ~ spl3_1 ),
inference(resolution,[],[f87,f57]) ).
fof(f114,plain,
( $false
| ~ spl3_1 ),
inference(forward_subsumption_resolution,[],[f109,f60]) ).
fof(f115,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f114]) ).
cnf(s1,plain,
( spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f92]) ).
cnf(s2,plain,
spl3_2,
inference(sat_conversion,[],[f100]) ).
cnf(s3,plain,
~ spl3_1,
inference(sat_conversion,[],[f115]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f116,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO206+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 % Computer : n011.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sun Sep 27 07:36:15 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.44 Running first-order model finding
% 0.13/0.44 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
% 0.17/0.49 % (2067401)Will run a generic schedule for satisfiability detection.
% 0.17/0.49 % (2067406)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3454528337_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.49 % TRYING [1]
% 0.17/0.49 % TRYING [2]
% 0.17/0.49 % TRYING [3]
% 0.17/0.49 % TRYING [4]
% 0.17/0.49 % TRYING [5]
% 0.17/0.49 % (2067407)% WARNING: option uhcvi not known.
% 0.17/0.49 % TRYING [6]
% 0.17/0.49 % (2067408)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3833996209:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.49 % (2067407)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3548138785:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.49 % (2067410)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1251867086:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.49 % TRYING [7]
% 0.17/0.49 % (2067412)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2431358668:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.49 % (2067411)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2401884524:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.49 % (2067407) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2067401-2067407"...
% 0.17/0.49 % (2067410) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2067401-2067410"...
% 0.17/0.49 % (2067407)...printing done.
% 0.17/0.49 % (2067411) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2067401-2067411"...
% 0.17/0.49 % (2067407)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Theorem for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (2067407)------------------------------
% 0.17/0.49 % (2067407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.49 % (2067407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.49 % (2067407)CaDiCaL version: 2.1.3
% 0.17/0.49 % (2067407)Termination reason: Refutation
% 0.17/0.49 % (2067407)Time elapsed: 0.003 s
% 0.17/0.49 % (2067407)Peak memory usage: 12 MB
% 0.17/0.49 % (2067407)Instructions burned: 2 (million)
% 0.17/0.49 % (2067401)Success in time 0.037 s
% 0.17/0.49 % Vampire exiting
%------------------------------------------------------------------------------