%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO171+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:53:46 AM UTC 2026
% Result : Theorem 0.12s 0.44s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 3 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO008+0.ax',ceq3) ).
fof(f13,conjecture,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f31,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f32,plain,
? [X0,X1] :
( ~ distinct_lines(X0,X1)
& convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f46,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f47,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f32]) ).
fof(f48,plain,
~ distinct_lines(sK0,sK1),
inference(cnf_transformation,[],[f32]) ).
fof(f60,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| distinct_lines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f46]) ).
fof(f61,plain,
~ convergent_lines(sK0,sK1),
inference(consistent_polarity_flipping,[],[f47]) ).
fof(f62,plain,
distinct_lines(sK0,sK1),
inference(resolution,[],[f60,f61]) ).
fof(f63,plain,
$false,
inference(forward_subsumption_resolution,[],[f62,f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO171+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n011.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 07:22:14 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 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
% 0.12/0.44 % (2059031)Will run a generic schedule for satisfiability detection.
% 0.12/0.44 % (2059037)% WARNING: option uhcvi not known.
% 0.12/0.44 % (2059037)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1615631617:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.44 % (2059037) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2059031-2059037"...
% 0.12/0.44 % (2059037)...printing done.
% 0.12/0.44 % (2059037)Refutation found. Thanks to Tanya!
% 0.12/0.44 % SZS status Theorem for theBenchmark
% 0.12/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.44 % (2059037)------------------------------
% 0.12/0.44 % (2059037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.44 % (2059037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.44 % (2059037)CaDiCaL version: 2.1.3
% 0.12/0.44 % (2059037)Termination reason: Refutation
% 0.12/0.44 % (2059037)Time elapsed: 0.001 s
% 0.12/0.44 % (2059037)Peak memory usage: 11 MB
% 0.12/0.44 % (2059031)Success in time 0.034 s
% 0.12/0.44 % Vampire exiting
%------------------------------------------------------------------------------