%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO253+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 : n008.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 01:17:44 PM UTC 2026
% Result : Theorem 0.14s 6.01s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 4 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 46 ( 20 ~; 11 |; 12 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 2 sgn 18 !; 3 ?)
% 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(f0,axiom,
! [A,L] :
( apart_point_and_line(A,L)
<=> ( left_apart_point(A,reverse_line(L))
| left_apart_point(A,L) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apt_def) ).
fof(f0_nnf,plain,
! [A,L] :
( ( ( ~ left_apart_point(A,reverse_line(L))
& ~ left_apart_point(A,L) )
| apart_point_and_line(A,L) )
& ( left_apart_point(A,reverse_line(L))
| left_apart_point(A,L)
| ~ apart_point_and_line(A,L) ) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A,L] :
( ( ( ~ left_apart_point(A,reverse_line(L))
& ~ left_apart_point(A,L) )
| apart_point_and_line(A,L) )
& ( left_apart_point(A,reverse_line(L))
| left_apart_point(A,L)
| ~ apart_point_and_line(A,L) ) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( left_apart_point(X0,reverse_line(X1))
| left_apart_point(X0,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
fof(f31,conjecture,
! [A,B,L] :
( ( ~ apart_point_and_line(B,parallel_through_point(L,A))
& apart_point_and_line(A,L) )
=> apart_point_and_line(B,L) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f31_neg,negated_conjecture,
~ ! [A,B,L] :
( ( ~ apart_point_and_line(B,parallel_through_point(L,A))
& apart_point_and_line(A,L) )
=> apart_point_and_line(B,L) ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f31_nnf,plain,
? [A,B,L] :
( ~ apart_point_and_line(B,L)
& ~ apart_point_and_line(B,parallel_through_point(L,A))
& apart_point_and_line(A,L) ),
inference(nnf_transformation,[status(thm)],[f31_neg]) ).
fof(f31_sk,plain,
( ~ apart_point_and_line(sk1,sk2)
& ~ apart_point_and_line(sk1,parallel_through_point(sk2,sk0))
& apart_point_and_line(sk0,sk2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f31_nnf]) ).
cnf(c58,plain,
apart_point_and_line(sk0,sk2),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(p61,plain,
( left_apart_point(sk0,reverse_line(sk2))
| left_apart_point(sk0,sk2) ),
inference(resolution,[status(thm)],[c0,c58]) ).
cnf(p62,plain,
left_apart_point(sk0,sk2),
inference(resolution,[status(thm)],[c37,p61]) ).
cnf(p63,plain,
$false,
inference(resolution,[status(thm)],[p62,c37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO253+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/5.59 % Computer : n008.cluster.edu
% 0.09/5.59 % Model : x86_64 x86_64
% 0.09/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.59 % Memory : 8046.5625MB
% 0.09/5.59 % OS : Linux 6.8.0-71-generic
% 0.09/5.59 % CPULimit : 300
% 0.09/5.59 % WCLimit : 300
% 0.09/5.59 % DateTime : Wed Sep 23 11:43:03 UTC 2026
% 0.09/5.59 % CPUTime :
% 0.09/5.59 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/6.01 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/6.01 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------