%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO256+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 : n006.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 01:17:45 PM UTC 2026
% Result : Theorem 4.34s 1.28s
% Output : Proof 4.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 42 ( 15 ~; 3 |; 20 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 23 ( 2 sgn 16 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [A,L] :
~ ( left_apart_point(A,reverse_line(L))
| left_apart_point(A,L) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',oag10) ).
fof(f14_nnf,plain,
! [A,L] :
( ~ left_apart_point(A,reverse_line(L))
& ~ left_apart_point(A,L) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [A,L] :
( ~ left_apart_point(A,reverse_line(L))
& ~ left_apart_point(A,L) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c37,plain,
~ left_apart_point(X0,X1),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
fof(f31,conjecture,
! [L,A,B,C,D] :
( ( left_apart_point(D,L)
& ~ apart_point_and_line(C,L)
& distinct_points(B,C)
& distinct_points(A,C) )
=> ( before_on_line(L,A,B)
=> ( before_on_line(L,C,B)
| before_on_line(L,A,C) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f31_neg,negated_conjecture,
~ ! [L,A,B,C,D] :
( ( left_apart_point(D,L)
& ~ apart_point_and_line(C,L)
& distinct_points(B,C)
& distinct_points(A,C) )
=> ( before_on_line(L,A,B)
=> ( before_on_line(L,C,B)
| before_on_line(L,A,C) ) ) ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f31_nnf,plain,
? [L,A,B,C,D] :
( ~ before_on_line(L,C,B)
& ~ before_on_line(L,A,C)
& before_on_line(L,A,B)
& left_apart_point(D,L)
& ~ apart_point_and_line(C,L)
& distinct_points(B,C)
& distinct_points(A,C) ),
inference(nnf_transformation,[status(thm)],[f31_neg]) ).
fof(f31_sk,plain,
( ~ before_on_line(sk0,sk3,sk2)
& ~ before_on_line(sk0,sk1,sk3)
& before_on_line(sk0,sk1,sk2)
& left_apart_point(sk4,sk0)
& ~ apart_point_and_line(sk3,sk0)
& distinct_points(sk2,sk3)
& distinct_points(sk1,sk3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2,sk3,sk4])],[f31_nnf]) ).
cnf(c61,plain,
left_apart_point(sk4,sk0),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p65,plain,
$false,
inference(resolution,[status(thm)],[c37,c61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO256+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.57 % Computer : n006.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Wed Sep 23 11:42:41 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.57 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.34/1.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.34/1.28 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------