%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO219+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 : n013.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 09:54:06 AM UTC 2026
% Result : Theorem 0.12s 0.46s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 42 ( 12 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 98 ( 42 ~; 38 |; 11 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 70 ( 64 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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] :
( ( orthogonal_lines(X0,X1)
& parallel_lines(X0,X2) )
=> orthogonal_lines(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( orthogonal_lines(X0,X1)
& parallel_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)
& orthogonal_lines(X0,X1)
& parallel_lines(X0,X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f79,plain,
? [X0,X1,X2] :
( ~ orthogonal_lines(X1,X2)
& orthogonal_lines(X0,X1)
& parallel_lines(X0,X2) ),
inference(flattening,[],[f78]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f98,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f107,plain,
! [X2,X0,X1] :
( convergent_lines(X0,X2)
| unorthogonal_lines(X0,X1)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f116,plain,
! [X0,X1] :
( ~ parallel_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f117,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| orthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f118,plain,
! [X0,X1] :
( ~ unorthogonal_lines(X0,X1)
| ~ orthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f119,plain,
parallel_lines(sK0,sK2),
inference(cnf_transformation,[],[f79]) ).
fof(f120,plain,
orthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f79]) ).
fof(f121,plain,
~ orthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f79]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X2)
| ~ convergent_lines(X1,X2)
| convergent_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f85]) ).
fof(f130,plain,
! [X0,X1] :
( ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f98]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X2)
| unorthogonal_lines(X1,X2)
| convergent_lines(X1,X2) ),
inference(consistent_polarity_flipping,[],[f107]) ).
fof(f147,plain,
! [X0,X1] :
( ~ parallel_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f116]) ).
fof(f148,plain,
! [X0,X1] :
( orthogonal_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f118]) ).
fof(f149,plain,
! [X0,X1] :
( ~ orthogonal_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f117]) ).
fof(f150,plain,
orthogonal_lines(sK1,sK2),
inference(consistent_polarity_flipping,[],[f121]) ).
fof(f151,plain,
~ orthogonal_lines(sK0,sK1),
inference(consistent_polarity_flipping,[],[f120]) ).
fof(f155,plain,
convergent_lines(sK0,sK2),
inference(resolution,[],[f147,f119]) ).
fof(f156,plain,
unorthogonal_lines(sK0,sK1),
inference(resolution,[],[f148,f151]) ).
fof(f158,plain,
~ convergent_lines(sK0,sK1),
inference(resolution,[],[f156,f130]) ).
fof(f159,plain,
~ unorthogonal_lines(sK1,sK2),
inference(resolution,[],[f149,f150]) ).
fof(f163,plain,
! [X0] :
( ~ convergent_lines(X0,sK2)
| convergent_lines(sK0,X0) ),
inference(resolution,[],[f123,f155]) ).
fof(f193,plain,
! [X0] :
( ~ convergent_lines(sK0,X0)
| unorthogonal_lines(sK1,X0)
| convergent_lines(sK1,X0) ),
inference(resolution,[],[f141,f156]) ).
fof(f314,plain,
( unorthogonal_lines(sK1,sK2)
| convergent_lines(sK1,sK2) ),
inference(resolution,[],[f193,f155]) ).
fof(f315,plain,
convergent_lines(sK1,sK2),
inference(forward_subsumption_resolution,[],[f314,f159]) ).
fof(f396,plain,
convergent_lines(sK0,sK1),
inference(resolution,[],[f315,f163]) ).
fof(f405,plain,
$false,
inference(forward_subsumption_resolution,[],[f396,f158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO219+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 : n013.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 07:41:37 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.12/0.46 % (4088987)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (4088993)% WARNING: option uhcvi not known.
% 0.12/0.46 % (4088993)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3150741909:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.46 % (4088993) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4088987-4088993"...
% 0.12/0.46 % (4088993)...printing done.
% 0.12/0.46 % (4088993)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Theorem for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.47 % (4088993)------------------------------
% 0.12/0.47 % (4088993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.47 % (4088993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.47 % (4088993)CaDiCaL version: 2.1.3
% 0.12/0.47 % (4088993)Termination reason: Refutation
% 0.12/0.47 % (4088993)Time elapsed: 0.004 s
% 0.12/0.47 % (4088993)Peak memory usage: 12 MB
% 0.12/0.47 % (4088993)Instructions burned: 10 (million)
% 0.12/0.47 % (4088987)Success in time 0.034 s
% 0.12/0.47 % Vampire exiting
%------------------------------------------------------------------------------