%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO220+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 0.09s 0.44s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 26 ( 8 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 48 ( 21 ~; 11 |; 9 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 41 ( 35 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
! [X0,X1,X2] :
( ( ~ unorthogonal_lines(X0,X1)
& ~ unorthogonal_lines(X0,X2) )
=> ~ convergent_lines(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax',couo1) ).
fof(f33,axiom,
! [X0,X1] :
( parallel_lines(X0,X1)
<=> ~ convergent_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a3) ).
fof(f35,axiom,
! [X0,X1] :
( orthogonal_lines(X0,X1)
<=> ~ unorthogonal_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+6.ax',a5) ).
fof(f36,conjecture,
! [X0,X1,X2] :
( ( orthogonal_lines(X0,X1)
& orthogonal_lines(X0,X2) )
=> parallel_lines(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f37,negated_conjecture,
~ ! [X0,X1,X2] :
( ( orthogonal_lines(X0,X1)
& orthogonal_lines(X0,X2) )
=> parallel_lines(X1,X2) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( orthogonal_lines(X0,X1)
=> ~ unorthogonal_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f35]) ).
fof(f39,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
=> parallel_lines(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f33]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X1,X2)
| unorthogonal_lines(X0,X1)
| unorthogonal_lines(X0,X2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X1,X2)
| unorthogonal_lines(X0,X1)
| unorthogonal_lines(X0,X2) ),
inference(flattening,[],[f68]) ).
fof(f78,plain,
! [X0,X1] :
( parallel_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f79,plain,
! [X0,X1] :
( ~ unorthogonal_lines(X0,X1)
| ~ orthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f80,plain,
? [X0,X1,X2] :
( ~ parallel_lines(X1,X2)
& orthogonal_lines(X0,X1)
& orthogonal_lines(X0,X2) ),
inference(ennf_transformation,[],[f37]) ).
fof(f81,plain,
? [X0,X1,X2] :
( ~ parallel_lines(X1,X2)
& orthogonal_lines(X0,X1)
& orthogonal_lines(X0,X2) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
( ~ parallel_lines(sK1,sK2)
& orthogonal_lines(sK0,sK1)
& orthogonal_lines(sK0,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f81]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X1,X2)
| unorthogonal_lines(X0,X1)
| unorthogonal_lines(X0,X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f119,plain,
! [X0,X1] :
( parallel_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f120,plain,
! [X0,X1] :
( ~ orthogonal_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f121,plain,
orthogonal_lines(sK0,sK2),
inference(cnf_transformation,[],[f82]) ).
fof(f122,plain,
orthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f82]) ).
fof(f123,plain,
~ parallel_lines(sK1,sK2),
inference(cnf_transformation,[],[f82]) ).
fof(f125,plain,
convergent_lines(sK1,sK2),
inference(resolution,[],[f119,f123]) ).
fof(f126,plain,
~ unorthogonal_lines(sK0,sK2),
inference(resolution,[],[f120,f121]) ).
fof(f127,plain,
~ unorthogonal_lines(sK0,sK1),
inference(resolution,[],[f120,f122]) ).
fof(f150,plain,
! [X0] :
( unorthogonal_lines(X0,sK2)
| unorthogonal_lines(X0,sK1) ),
inference(resolution,[],[f114,f125]) ).
fof(f160,plain,
unorthogonal_lines(sK0,sK1),
inference(resolution,[],[f150,f126]) ).
fof(f161,plain,
$false,
inference(forward_subsumption_resolution,[],[f160,f127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO220+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n008.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 07:43:25 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 0.09/0.44 % (896345)Will run a generic schedule for satisfiability detection.
% 0.09/0.44 % (896355)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=58376045:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.44 % (896355) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-896345-896355"...
% 0.09/0.44 % (896355)...printing done.
% 0.09/0.44 % (896355)Refutation found. Thanks to Tanya!
% 0.09/0.44 % SZS status Theorem for theBenchmark
% 0.09/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.44 % (896355)------------------------------
% 0.09/0.44 % (896355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.44 % (896355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.44 % (896355)CaDiCaL version: 2.1.3
% 0.09/0.44 % (896355)Termination reason: Refutation
% 0.09/0.44 % (896355)Time elapsed: 0.002 s
% 0.09/0.44 % (896355)Peak memory usage: 11 MB
% 0.09/0.44 % (896355)Instructions burned: 3 (million)
% 0.09/0.44 % (896345)Success in time 0.03 s
% 0.09/0.44 % Vampire exiting
%------------------------------------------------------------------------------