%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO241+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 : n003.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 01:17:41 PM UTC 2026
% Result : Theorem 0.13s 5.78s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 28 ( 13 ~; 1 |; 12 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 2 sgn 12 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31,conjecture,
! [A,B,L] :
( ( left_convergent_lines(L,line_connecting(A,B))
& distinct_points(A,B)
& ~ apart_point_and_line(A,L) )
=> left_apart_point(B,L) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f31_neg,negated_conjecture,
~ ! [A,B,L] :
( ( left_convergent_lines(L,line_connecting(A,B))
& distinct_points(A,B)
& ~ apart_point_and_line(A,L) )
=> left_apart_point(B,L) ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f31_nnf,plain,
? [A,B,L] :
( ~ left_apart_point(B,L)
& left_convergent_lines(L,line_connecting(A,B))
& distinct_points(A,B)
& ~ apart_point_and_line(A,L) ),
inference(nnf_transformation,[status(thm)],[f31_neg]) ).
fof(f31_sk,plain,
( ~ left_apart_point(sk1,sk2)
& left_convergent_lines(sk2,line_connecting(sk0,sk1))
& distinct_points(sk0,sk1)
& ~ apart_point_and_line(sk0,sk2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f31_nnf]) ).
cnf(c60,plain,
left_convergent_lines(sk2,line_connecting(sk0,sk1)),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
fof(f15,axiom,
! [L,M] :
~ ( left_convergent_lines(L,reverse_line(M))
| left_convergent_lines(L,M) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag11) ).
fof(f15_nnf,plain,
! [L,M] :
( ~ left_convergent_lines(L,reverse_line(M))
& ~ left_convergent_lines(L,M) ),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [L,M] :
( ~ left_convergent_lines(L,reverse_line(M))
& ~ left_convergent_lines(L,M) ),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c39,plain,
~ left_convergent_lines(X0,X1),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p77,plain,
$false,
inference(resolution,[status(thm)],[c60,c39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO241+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.07/5.36 % Computer : n003.cluster.edu
% 0.07/5.36 % Model : x86_64 x86_64
% 0.07/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/5.36 % Memory : 8046.5625MB
% 0.07/5.36 % OS : Linux 6.8.0-71-generic
% 0.07/5.36 % CPULimit : 300
% 0.07/5.36 % WCLimit : 300
% 0.07/5.36 % DateTime : Wed Sep 23 11:40:09 UTC 2026
% 0.07/5.36 % CPUTime :
% 0.07/5.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.13/5.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/5.78 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------