%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO227+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 01:17:37 PM UTC 2026
% Result : Theorem 3.37s 1.06s
% Output : Proof 3.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 47 ( 20 ~; 13 |; 11 &)
% ( 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 : 15 ( 0 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,conjecture,
! [L,M] :
( ( line(M)
& line(L) )
=> ~ ( ~ unequally_directed_lines(L,reverse_line(M))
& ~ unequally_directed_lines(L,M) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f31_neg,negated_conjecture,
~ ! [L,M] :
( ( line(M)
& line(L) )
=> ~ ( ~ unequally_directed_lines(L,reverse_line(M))
& ~ unequally_directed_lines(L,M) ) ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f31_nnf,plain,
? [L,M] :
( ~ unequally_directed_lines(L,reverse_line(M))
& ~ unequally_directed_lines(L,M)
& line(M)
& line(L) ),
inference(nnf_transformation,[status(thm)],[f31_neg]) ).
fof(f31_sk,plain,
( ~ unequally_directed_lines(sk0,reverse_line(sk1))
& ~ unequally_directed_lines(sk0,sk1)
& line(sk1)
& line(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f31_nnf]) ).
cnf(c58,plain,
line(sk0),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
fof(f12,axiom,
! [L,M] :
( ( line(M)
& line(L) )
=> ( unequally_directed_lines(L,reverse_line(M))
| unequally_directed_lines(L,M) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag8) ).
fof(f12_nnf,plain,
! [L,M] :
( unequally_directed_lines(L,reverse_line(M))
| unequally_directed_lines(L,M)
| ~ line(M)
| ~ line(L) ),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [L,M] :
( unequally_directed_lines(L,reverse_line(M))
| unequally_directed_lines(L,M)
| ~ line(M)
| ~ line(L) ),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c35,plain,
( unequally_directed_lines(X0,reverse_line(X1))
| unequally_directed_lines(X0,X1)
| ~ line(X1)
| ~ line(X0) ),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(p72,plain,
( unequally_directed_lines(sk0,reverse_line(X0))
| unequally_directed_lines(sk0,X0)
| ~ line(X0) ),
inference(resolution,[status(thm)],[c58,c35]) ).
cnf(c59,plain,
line(sk1),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p81,plain,
( unequally_directed_lines(sk0,reverse_line(sk1))
| unequally_directed_lines(sk0,sk1) ),
inference(resolution,[status(thm)],[p72,c59]) ).
cnf(c61,plain,
~ unequally_directed_lines(sk0,reverse_line(sk1)),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p120,plain,
unequally_directed_lines(sk0,sk1),
inference(resolution,[status(thm)],[p81,c61]) ).
cnf(c60,plain,
~ unequally_directed_lines(sk0,sk1),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p226,plain,
$false,
inference(resolution,[status(thm)],[p120,c60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO227+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.52 % Computer : n018.cluster.edu
% 0.10/0.52 % Model : x86_64 x86_64
% 0.10/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.52 % Memory : 8046.5625MB
% 0.10/0.52 % OS : Linux 6.8.0-71-generic
% 0.10/0.52 % CPULimit : 300
% 0.10/0.52 % WCLimit : 300
% 0.10/0.52 % DateTime : Wed Sep 23 11:36:49 UTC 2026
% 0.10/0.52 % CPUTime :
% 0.10/0.52 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.37/1.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.37/1.06 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------