%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO247+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n019.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 01:17:42 PM UTC 2026
% Result : Theorem 4.50s 1.15s
% Output : Proof 4.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 44 ( 9 ~; 1 |; 32 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 26 ( 2 sgn 18 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,conjecture,
! [A,B,C,D,L,M] :
( ( left_apart_point(D,M)
& right_apart_point(D,L)
& right_apart_point(C,M)
& left_apart_point(C,L)
& right_apart_point(B,M)
& right_apart_point(B,L)
& left_apart_point(A,M)
& left_apart_point(A,L) )
=> convergent_lines(L,M) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f36_neg,negated_conjecture,
~ ! [A,B,C,D,L,M] :
( ( left_apart_point(D,M)
& right_apart_point(D,L)
& right_apart_point(C,M)
& left_apart_point(C,L)
& right_apart_point(B,M)
& right_apart_point(B,L)
& left_apart_point(A,M)
& left_apart_point(A,L) )
=> convergent_lines(L,M) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f36_nnf,plain,
? [A,B,C,D,L,M] :
( ~ convergent_lines(L,M)
& left_apart_point(D,M)
& right_apart_point(D,L)
& right_apart_point(C,M)
& left_apart_point(C,L)
& right_apart_point(B,M)
& right_apart_point(B,L)
& left_apart_point(A,M)
& left_apart_point(A,L) ),
inference(nnf_transformation,[status(thm)],[f36_neg]) ).
fof(f36_sk,plain,
( ~ convergent_lines(sk4,sk5)
& left_apart_point(sk3,sk5)
& right_apart_point(sk3,sk4)
& right_apart_point(sk2,sk5)
& left_apart_point(sk2,sk4)
& right_apart_point(sk1,sk5)
& right_apart_point(sk1,sk4)
& left_apart_point(sk0,sk5)
& left_apart_point(sk0,sk4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3,sk4,sk5])],[f36_nnf]) ).
cnf(c66,plain,
left_apart_point(sk0,sk4),
inference(cnf_transformation,[status(esa)],[f36_sk]) ).
fof(f19,axiom,
! [A,L] :
~ ( left_apart_point(A,reverse_line(L))
| left_apart_point(A,L) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10_basics) ).
fof(f19_nnf,plain,
! [A,L] :
( ~ left_apart_point(A,reverse_line(L))
& ~ left_apart_point(A,L) ),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
! [A,L] :
( ~ left_apart_point(A,reverse_line(L))
& ~ left_apart_point(A,L) ),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c45,plain,
~ left_apart_point(X0,X1),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(p75,plain,
$false,
inference(resolution,[status(thm)],[c66,c45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO247+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n019.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 11:40:34 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.50/1.15 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.50/1.15 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------