%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO233+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 : n010.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 01:17:39 PM UTC 2026
% Result : Theorem 6.89s 6.63s
% Output : Proof 6.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 59 ( 19 ~; 31 |; 7 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 38 ( 0 sgn 23 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [L,M,N] :
( ( unequally_directed_lines(L,reverse_line(M))
& unequally_directed_lines(L,M) )
=> ( ( unequally_directed_lines(M,reverse_line(N))
& unequally_directed_lines(M,N) )
| ( unequally_directed_lines(L,reverse_line(N))
& unequally_directed_lines(L,N) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag7) ).
fof(f11_nnf,plain,
! [L,M,N] :
( ( unequally_directed_lines(M,reverse_line(N))
& unequally_directed_lines(M,N) )
| ( unequally_directed_lines(L,reverse_line(N))
& unequally_directed_lines(L,N) )
| ~ unequally_directed_lines(L,reverse_line(M))
| ~ unequally_directed_lines(L,M) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [L,M,N] :
( ( unequally_directed_lines(M,reverse_line(N))
& unequally_directed_lines(M,N) )
| ( unequally_directed_lines(L,reverse_line(N))
& unequally_directed_lines(L,N) )
| ~ unequally_directed_lines(L,reverse_line(M))
| ~ unequally_directed_lines(L,M) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c32,plain,
( unequally_directed_lines(X1,reverse_line(X2))
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,reverse_line(X1))
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
fof(f10,axiom,
! [L,M,N] :
( unequally_directed_lines(L,M)
=> ( unequally_directed_lines(M,N)
| unequally_directed_lines(L,N) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag6) ).
fof(f10_nnf,plain,
! [L,M,N] :
( unequally_directed_lines(M,N)
| unequally_directed_lines(L,N)
| ~ unequally_directed_lines(L,M) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [L,M,N] :
( unequally_directed_lines(M,N)
| unequally_directed_lines(L,N)
| ~ unequally_directed_lines(L,M) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c30,plain,
( unequally_directed_lines(X1,X2)
| unequally_directed_lines(X0,X2)
| ~ unequally_directed_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
fof(f31,conjecture,
! [L] : ~ unequally_directed_lines(reverse_line(reverse_line(L)),L),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f31_neg,negated_conjecture,
~ ! [L] : ~ unequally_directed_lines(reverse_line(reverse_line(L)),L),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f31_nnf,plain,
? [L] : unequally_directed_lines(reverse_line(reverse_line(L)),L),
inference(nnf_transformation,[status(thm)],[f31_neg]) ).
fof(f31_sk,plain,
unequally_directed_lines(reverse_line(reverse_line(sk0)),sk0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f31_nnf]) ).
cnf(c58,plain,
unequally_directed_lines(reverse_line(reverse_line(sk0)),sk0),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p61,plain,
( unequally_directed_lines(sk0,X0)
| unequally_directed_lines(reverse_line(reverse_line(sk0)),X0) ),
inference(resolution,[status(thm)],[c30,c58]) ).
fof(f9,axiom,
! [L] : ~ unequally_directed_lines(L,L),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag5) ).
fof(f9_nnf,plain,
! [L] : ~ unequally_directed_lines(L,L),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [L] : ~ unequally_directed_lines(L,L),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c29,plain,
~ unequally_directed_lines(X0,X0),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p63,plain,
unequally_directed_lines(sk0,reverse_line(reverse_line(sk0))),
inference(resolution,[status(thm)],[p61,c29]) ).
cnf(p203,plain,
( unequally_directed_lines(reverse_line(reverse_line(sk0)),reverse_line(X0))
| unequally_directed_lines(sk0,X0)
| ~ unequally_directed_lines(sk0,reverse_line(reverse_line(reverse_line(sk0)))) ),
inference(resolution,[status(thm)],[c32,p63]) ).
cnf(p201,plain,
( unequally_directed_lines(sk0,reverse_line(X0))
| unequally_directed_lines(reverse_line(reverse_line(sk0)),X0)
| ~ unequally_directed_lines(reverse_line(reverse_line(sk0)),reverse_line(sk0)) ),
inference(resolution,[status(thm)],[c32,c58]) ).
cnf(p2014,plain,
( unequally_directed_lines(sk0,reverse_line(sk0))
| unequally_directed_lines(sk0,reverse_line(X0))
| unequally_directed_lines(reverse_line(reverse_line(sk0)),X0) ),
inference(resolution,[status(thm)],[p201,p61]) ).
cnf(p2033,plain,
( unequally_directed_lines(sk0,reverse_line(sk0))
| unequally_directed_lines(sk0,reverse_line(reverse_line(reverse_line(sk0)))) ),
inference(resolution,[status(thm)],[p2014,c29]) ).
cnf(p2292,plain,
( unequally_directed_lines(sk0,reverse_line(sk0))
| unequally_directed_lines(reverse_line(reverse_line(sk0)),reverse_line(X0))
| unequally_directed_lines(sk0,X0) ),
inference(resolution,[status(thm)],[p203,p2033]) ).
cnf(p2296,plain,
( unequally_directed_lines(sk0,reverse_line(sk0))
| unequally_directed_lines(sk0,reverse_line(sk0)) ),
inference(resolution,[status(thm)],[p2292,c29]) ).
cnf(p2316,plain,
unequally_directed_lines(sk0,reverse_line(sk0)),
inference(factoring,[status(thm)],[p2296]) ).
cnf(p2341,plain,
( unequally_directed_lines(reverse_line(sk0),reverse_line(X0))
| unequally_directed_lines(sk0,X0)
| ~ unequally_directed_lines(sk0,reverse_line(reverse_line(sk0))) ),
inference(resolution,[status(thm)],[p2316,c32]) ).
cnf(p2768,plain,
( unequally_directed_lines(reverse_line(sk0),reverse_line(X0))
| unequally_directed_lines(sk0,X0) ),
inference(resolution,[status(thm)],[p2341,p63]) ).
cnf(p2789,plain,
unequally_directed_lines(sk0,sk0),
inference(resolution,[status(thm)],[p2768,c29]) ).
cnf(p2798,plain,
$false,
inference(resolution,[status(thm)],[p2789,c29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO233+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/5.37 % Computer : n010.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Wed Sep 23 11:36:19 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.89/6.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.89/6.63 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------