%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO217+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 : n017.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 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 14 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 65 ( 24 ~; 26 |; 9 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 60 ( 54 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart2) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).
fof(f5,axiom,
! [X0,X1,X2] :
( distinct_lines(X0,X1)
=> ( distinct_lines(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart5) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq3) ).
fof(f15,axiom,
! [X0,X1] :
( distinct_lines(X0,X1)
=> convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+1.ax',p1) ).
fof(f33,axiom,
! [X0,X1] :
( parallel_lines(X0,X1)
<=> ~ convergent_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO006+6.ax',a3) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( parallel_lines(X0,X1)
& parallel_lines(X0,X2) )
=> parallel_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( parallel_lines(X0,X1)
& parallel_lines(X0,X2) )
=> parallel_lines(X1,X2) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f40,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f41,plain,
! [X0,X1,X2] :
( distinct_lines(X0,X2)
| distinct_lines(X1,X2)
| ~ distinct_lines(X0,X1) ),
inference(flattening,[],[f40]) ).
fof(f54,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f55,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| ~ distinct_lines(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f76,plain,
? [X0,X1,X2] :
( ~ parallel_lines(X1,X2)
& parallel_lines(X0,X1)
& parallel_lines(X0,X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f77,plain,
? [X0,X1,X2] :
( ~ parallel_lines(X1,X2)
& parallel_lines(X0,X1)
& parallel_lines(X0,X2) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( ( parallel_lines(X0,X1)
| convergent_lines(X0,X1) )
& ( ~ convergent_lines(X0,X1)
| ~ parallel_lines(X0,X1) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f79,plain,
( ~ parallel_lines(sK1,sK2)
& parallel_lines(sK0,sK1)
& parallel_lines(sK0,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f77]) ).
fof(f81,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f82,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X1,X2)
| distinct_lines(X0,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f94,plain,
! [X0,X1] :
( ~ distinct_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f116,plain,
! [X0,X1] :
( ~ parallel_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f117,plain,
! [X0,X1] :
( parallel_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f118,plain,
parallel_lines(sK0,sK2),
inference(cnf_transformation,[],[f79]) ).
fof(f119,plain,
parallel_lines(sK0,sK1),
inference(cnf_transformation,[],[f79]) ).
fof(f120,plain,
~ parallel_lines(sK1,sK2),
inference(cnf_transformation,[],[f79]) ).
fof(f122,plain,
~ convergent_lines(sK0,sK2),
inference(resolution,[],[f116,f118]) ).
fof(f123,plain,
~ convergent_lines(sK0,sK1),
inference(resolution,[],[f116,f119]) ).
fof(f124,plain,
convergent_lines(sK1,sK2),
inference(resolution,[],[f117,f120]) ).
fof(f138,plain,
! [X0] :
( convergent_lines(sK1,X0)
| distinct_lines(sK2,X0) ),
inference(resolution,[],[f93,f124]) ).
fof(f142,plain,
! [X0,X1] :
( convergent_lines(sK1,X1)
| distinct_lines(sK2,X0)
| distinct_lines(X0,X1) ),
inference(resolution,[],[f138,f93]) ).
fof(f273,plain,
! [X0] :
( distinct_lines(sK2,X0)
| distinct_lines(X0,sK1) ),
inference(resolution,[],[f142,f82]) ).
fof(f287,plain,
! [X0] :
( convergent_lines(X0,sK1)
| distinct_lines(sK2,X0) ),
inference(resolution,[],[f273,f94]) ).
fof(f319,plain,
distinct_lines(sK2,sK0),
inference(resolution,[],[f287,f123]) ).
fof(f345,plain,
! [X0] :
( distinct_lines(sK2,X0)
| distinct_lines(sK0,X0) ),
inference(resolution,[],[f319,f84]) ).
fof(f497,plain,
distinct_lines(sK0,sK2),
inference(resolution,[],[f345,f81]) ).
fof(f532,plain,
convergent_lines(sK0,sK2),
inference(resolution,[],[f497,f94]) ).
fof(f533,plain,
$false,
inference(forward_subsumption_resolution,[],[f532,f122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO217+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n017.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 07:37:04 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.18/0.48 % (2217044)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (2217054)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2777463384:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.48 % (2217050)% WARNING: option uhcvi not known.
% 0.18/0.48 % (2217052)dis+10_1_sil=32000:sp=arity:random_seed=2763686989:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.48 % (2217049)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1248856801_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.48 % (2217050)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2242850219:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.48 % (2217051)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1458150724:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.48 % (2217054) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2217044-2217054"...
% 0.18/0.48 % (2217053)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3139904332:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.48 % (2217055)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2477183509:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.48 % (2217054)...printing done.
% 0.18/0.48 % (2217054)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (2217054)------------------------------
% 0.18/0.48 % (2217054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48 % (2217054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48 % (2217054)CaDiCaL version: 2.1.3
% 0.18/0.48 % (2217054)Termination reason: Refutation
% 0.18/0.48 % (2217054)Time elapsed: 0.007 s
% 0.18/0.48 % (2217054)Peak memory usage: 11 MB
% 0.18/0.48 % (2217054)Instructions burned: 18 (million)
% 0.18/0.48 % (2217044)Success in time 0.037 s
% 0.18/0.48 % Vampire exiting
%------------------------------------------------------------------------------