%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO218+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 : n003.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 0.12s 0.46s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 10 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 90 ( 38 ~; 36 |; 12 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 56 ( 50 !; 6 ?)
% 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(X0,X1)
& ~ unorthogonal_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+4.ax',coipo1) ).
fof(f14,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+4.ax',cotno1) ).
fof(f16,conjecture,
! [X0,X1,X2] :
( ( ~ convergent_lines(X0,X1)
& ~ unorthogonal_lines(X0,X2) )
=> ~ unorthogonal_lines(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f17,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ convergent_lines(X0,X1)
& ~ unorthogonal_lines(X0,X2) )
=> ~ unorthogonal_lines(X1,X2) ),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f22,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f23,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f22]) ).
fof(f35,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f36,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,[],[f14]) ).
fof(f37,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,[],[f36]) ).
fof(f40,plain,
? [X0,X1,X2] :
( unorthogonal_lines(X1,X2)
& ~ convergent_lines(X0,X1)
& ~ unorthogonal_lines(X0,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f41,plain,
? [X0,X1,X2] :
( unorthogonal_lines(X1,X2)
& ~ convergent_lines(X0,X1)
& ~ unorthogonal_lines(X0,X2) ),
inference(flattening,[],[f40]) ).
fof(f44,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f56,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f60,plain,
! [X2,X0,X1] :
( unorthogonal_lines(X0,X2)
| convergent_lines(X0,X1)
| ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f62,plain,
~ unorthogonal_lines(sK0,sK2),
inference(cnf_transformation,[],[f41]) ).
fof(f63,plain,
~ convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f41]) ).
fof(f64,plain,
unorthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f41]) ).
fof(f75,plain,
! [X0,X1] :
( ~ unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X0,X2)
| convergent_lines(X0,X1)
| unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ),
inference(consistent_polarity_flipping,[],[f60]) ).
fof(f81,plain,
~ unorthogonal_lines(sK1,sK2),
inference(consistent_polarity_flipping,[],[f64]) ).
fof(f82,plain,
unorthogonal_lines(sK0,sK2),
inference(consistent_polarity_flipping,[],[f62]) ).
fof(f83,plain,
convergent_lines(sK0,sK2),
inference(resolution,[],[f75,f82]) ).
fof(f85,plain,
! [X0] :
( convergent_lines(sK2,X0)
| convergent_lines(sK0,X0) ),
inference(resolution,[],[f83,f47]) ).
fof(f90,plain,
! [X0] :
( ~ convergent_lines(X0,sK2)
| unorthogonal_lines(X0,sK2)
| convergent_lines(sK0,X0) ),
inference(resolution,[],[f76,f82]) ).
fof(f98,plain,
! [X0,X1] :
( convergent_lines(sK0,X0)
| convergent_lines(X0,X1)
| convergent_lines(sK2,X1) ),
inference(resolution,[],[f85,f47]) ).
fof(f144,plain,
! [X0] :
( convergent_lines(sK0,X0)
| convergent_lines(sK2,sK2)
| unorthogonal_lines(X0,sK2)
| convergent_lines(sK0,X0) ),
inference(resolution,[],[f98,f90]) ).
fof(f156,plain,
! [X0] :
( convergent_lines(sK0,X0)
| convergent_lines(sK2,sK2)
| unorthogonal_lines(X0,sK2) ),
inference(duplicate_literal_removal,[],[f144]) ).
fof(f158,plain,
! [X0] :
( unorthogonal_lines(X0,sK2)
| convergent_lines(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f156,f44]) ).
fof(f196,plain,
convergent_lines(sK0,sK1),
inference(resolution,[],[f158,f81]) ).
fof(f203,plain,
$false,
inference(forward_subsumption_resolution,[],[f196,f63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO218+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n003.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 07:43:41 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.12/0.46 % (172541)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (172547)% WARNING: option uhcvi not known.
% 0.12/0.46 % (172547)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1560124130:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.46 % (172547) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-172541-172547"...
% 0.12/0.46 % (172547)...printing done.
% 0.12/0.46 % (172547)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
% 0.12/0.46 % (172547)------------------------------
% 0.12/0.46 % (172547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (172547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (172547)CaDiCaL version: 2.1.3
% 0.12/0.46 % (172547)Termination reason: Refutation
% 0.12/0.46 % (172547)Time elapsed: 0.002 s
% 0.12/0.46 % (172547)Peak memory usage: 11 MB
% 0.12/0.46 % (172547)Instructions burned: 5 (million)
% 0.12/0.46 % (172541)Success in time 0.033 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------