%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO232+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 : n026.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 5.32s 1.26s
% Output : Proof 5.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 8 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 34 ( 15 ~; 13 |; 3 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn 11 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
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(p67,plain,
( unequally_directed_lines(X0,reverse_line(X0))
| unequally_directed_lines(X0,X0)
| ~ line(X0) ),
inference(factoring,[status(thm)],[c35]) ).
fof(f31,conjecture,
! [L] :
( line(L)
=> unequally_directed_lines(L,reverse_line(L)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f31_neg,negated_conjecture,
~ ! [L] :
( line(L)
=> unequally_directed_lines(L,reverse_line(L)) ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f31_nnf,plain,
? [L] :
( ~ unequally_directed_lines(L,reverse_line(L))
& line(L) ),
inference(nnf_transformation,[status(thm)],[f31_neg]) ).
fof(f31_sk,plain,
( ~ unequally_directed_lines(sk0,reverse_line(sk0))
& line(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0])],[f31_nnf]) ).
cnf(c58,plain,
line(sk0),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p73,plain,
( unequally_directed_lines(sk0,reverse_line(sk0))
| unequally_directed_lines(sk0,sk0) ),
inference(resolution,[status(thm)],[p67,c58]) ).
cnf(c59,plain,
~ unequally_directed_lines(sk0,reverse_line(sk0)),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p87,plain,
unequally_directed_lines(sk0,sk0),
inference(resolution,[status(thm)],[p73,c59]) ).
fof(f9,axiom,
! [L] : ~ unequally_directed_lines(L,L),
file('/export/starexec/sandbox2/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(p111,plain,
$false,
inference(resolution,[status(thm)],[p87,c29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO232+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 11:38:08 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.32/1.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.32/1.26 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------