%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO227+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 09:54:08 AM UTC 2026
% Result : Theorem 0.13s 0.46s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 56 ( 26 ~; 13 |; 14 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 16 ( 12 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X0,X1] :
( ( line(X0)
& line(X1) )
=> ( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax',oag8) ).
fof(f32,conjecture,
! [X0,X1] :
( ( line(X0)
& line(X1) )
=> ~ ( ~ unequally_directed_lines(X0,X1)
& ~ unequally_directed_lines(X0,reverse_line(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f33,negated_conjecture,
~ ! [X0,X1] :
( ( line(X0)
& line(X1) )
=> ~ ( ~ unequally_directed_lines(X0,X1)
& ~ unequally_directed_lines(X0,reverse_line(X1)) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f44,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1))
| ~ line(X0)
| ~ line(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f45,plain,
! [X0,X1] :
( unequally_directed_lines(X0,X1)
| unequally_directed_lines(X0,reverse_line(X1))
| ~ line(X0)
| ~ line(X1) ),
inference(flattening,[],[f44]) ).
fof(f70,plain,
? [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
& ~ unequally_directed_lines(X0,reverse_line(X1))
& line(X0)
& line(X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f71,plain,
? [X0,X1] :
( ~ unequally_directed_lines(X0,X1)
& ~ unequally_directed_lines(X0,reverse_line(X1))
& line(X0)
& line(X1) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
( ~ unequally_directed_lines(sK0,sK1)
& ~ unequally_directed_lines(sK0,reverse_line(sK1))
& line(sK0)
& line(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f71]) ).
fof(f85,plain,
! [X0,X1] :
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| ~ line(X0)
| ~ line(X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f108,plain,
line(sK1),
inference(cnf_transformation,[],[f72]) ).
fof(f109,plain,
line(sK0),
inference(cnf_transformation,[],[f72]) ).
fof(f110,plain,
~ unequally_directed_lines(sK0,reverse_line(sK1)),
inference(cnf_transformation,[],[f72]) ).
fof(f111,plain,
~ unequally_directed_lines(sK0,sK1),
inference(cnf_transformation,[],[f72]) ).
fof(f203,plain,
( unequally_directed_lines(sK0,sK1)
| ~ line(sK0)
| ~ line(sK1) ),
inference(resolution,[],[f85,f110]) ).
fof(f204,plain,
( ~ line(sK0)
| ~ line(sK1) ),
inference(forward_subsumption_resolution,[],[f203,f111]) ).
fof(f207,plain,
~ line(sK1),
inference(forward_subsumption_resolution,[],[f204,f109]) ).
fof(f208,plain,
$false,
inference(forward_subsumption_resolution,[],[f207,f108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO227+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n018.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 07:48:08 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.13/0.46 % (2000234)Will run a generic schedule for satisfiability detection.
% 0.13/0.46 % (2000241)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4210858131:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.46 % (2000241) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2000234-2000241"...
% 0.13/0.46 % (2000241)...printing done.
% 0.13/0.46 % (2000240)% WARNING: option uhcvi not known.
% 0.13/0.46 % (2000241)Refutation found. Thanks to Tanya!
% 0.13/0.46 % SZS status Theorem for theBenchmark
% 0.13/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.46 % (2000241)------------------------------
% 0.13/0.46 % (2000241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.46 % (2000241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.46 % (2000241)CaDiCaL version: 2.1.3
% 0.13/0.46 % (2000241)Termination reason: Refutation
% 0.13/0.46 % (2000241)Time elapsed: 0.002 s
% 0.13/0.46 % (2000241)Peak memory usage: 12 MB
% 0.13/0.46 % (2000241)Instructions burned: 3 (million)
% 0.13/0.46 % (2000234)Success in time 0.033 s
% 0.13/0.46 % Vampire exiting
%------------------------------------------------------------------------------