%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO228+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n007.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 01:17:38 PM UTC 2026
% Result : Theorem 3.94s 1.16s
% Output : Proof 3.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 22 ( 5 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 70 ( 31 ~; 25 |; 11 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 18 ( 0 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,conjecture,
! [L,M] :
( ~ convergent_lines(L,M)
<=> ( ~ unequally_directed_lines(L,reverse_line(M))
| ~ unequally_directed_lines(L,M) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f31_neg,negated_conjecture,
~ ! [L,M] :
( ~ convergent_lines(L,M)
<=> ( ~ 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) )
& convergent_lines(L,M) )
| ( unequally_directed_lines(L,reverse_line(M))
& unequally_directed_lines(L,M)
& ~ convergent_lines(L,M) ) ),
inference(nnf_transformation,[status(thm)],[f31_neg]) ).
fof(f31_sk,plain,
( ( ( ~ unequally_directed_lines(sk0,reverse_line(sk1))
| ~ unequally_directed_lines(sk0,sk1) )
& convergent_lines(sk0,sk1) )
| ( unequally_directed_lines(sk0,reverse_line(sk1))
& unequally_directed_lines(sk0,sk1)
& ~ convergent_lines(sk0,sk1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f31_nnf]) ).
cnf(c60,plain,
( convergent_lines(sk0,sk1)
| unequally_directed_lines(sk0,sk1) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
fof(f1,axiom,
! [L,M] :
( convergent_lines(L,M)
<=> ( unequally_directed_lines(L,reverse_line(M))
& unequally_directed_lines(L,M) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con_def) ).
fof(f1_nnf,plain,
! [L,M] :
( ( ~ unequally_directed_lines(L,reverse_line(M))
| ~ unequally_directed_lines(L,M)
| convergent_lines(L,M) )
& ( ( unequally_directed_lines(L,reverse_line(M))
& unequally_directed_lines(L,M) )
| ~ convergent_lines(L,M) ) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [L,M] :
( ( ~ unequally_directed_lines(L,reverse_line(M))
| ~ unequally_directed_lines(L,M)
| convergent_lines(L,M) )
& ( ( unequally_directed_lines(L,reverse_line(M))
& unequally_directed_lines(L,M) )
| ~ convergent_lines(L,M) ) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c5,plain,
( ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p74,plain,
( ~ unequally_directed_lines(sk0,reverse_line(sk1))
| convergent_lines(sk0,sk1)
| convergent_lines(sk0,sk1) ),
inference(resolution,[status(thm)],[c60,c5]) ).
cnf(p89,plain,
( ~ unequally_directed_lines(sk0,reverse_line(sk1))
| convergent_lines(sk0,sk1) ),
inference(factoring,[status(thm)],[p74]) ).
cnf(c62,plain,
( convergent_lines(sk0,sk1)
| unequally_directed_lines(sk0,reverse_line(sk1)) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p104,plain,
( convergent_lines(sk0,sk1)
| convergent_lines(sk0,sk1) ),
inference(resolution,[status(thm)],[p89,c62]) ).
cnf(p153,plain,
convergent_lines(sk0,sk1),
inference(factoring,[status(thm)],[p104]) ).
cnf(c59,plain,
( ~ unequally_directed_lines(sk0,reverse_line(sk1))
| ~ unequally_directed_lines(sk0,sk1)
| ~ convergent_lines(sk0,sk1) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p156,plain,
( ~ unequally_directed_lines(sk0,reverse_line(sk1))
| ~ unequally_directed_lines(sk0,sk1) ),
inference(resolution,[status(thm)],[p153,c59]) ).
cnf(c3,plain,
( unequally_directed_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p154,plain,
unequally_directed_lines(sk0,sk1),
inference(resolution,[status(thm)],[p153,c3]) ).
cnf(p170,plain,
~ unequally_directed_lines(sk0,reverse_line(sk1)),
inference(resolution,[status(thm)],[p156,p154]) ).
cnf(c4,plain,
( unequally_directed_lines(X0,reverse_line(X1))
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p155,plain,
unequally_directed_lines(sk0,reverse_line(sk1)),
inference(resolution,[status(thm)],[p153,c4]) ).
cnf(p185,plain,
$false,
inference(resolution,[status(thm)],[p170,p155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO228+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n007.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 : Wed Sep 23 11:32:52 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.94/1.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.94/1.16 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------