%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GEO208+2 : TPTP v9.3.1. Released v3.3.0.
% 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 01:17:30 PM UTC 2026
% Result : Theorem 0.15s 5.80s
% Output : Proof 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 48 ( 21 ~; 14 |; 10 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn 15 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X,Y,Z] :
( distinct_lines(Y,Z)
=> ( convergent_lines(Y,Z)
| apart_point_and_line(X,Z)
| apart_point_and_line(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cup1) ).
fof(f14_nnf,plain,
! [X,Y,Z] :
( convergent_lines(Y,Z)
| apart_point_and_line(X,Z)
| apart_point_and_line(X,Y)
| ~ distinct_lines(Y,Z) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [Y,Z,X] :
( convergent_lines(Y,Z)
| apart_point_and_line(X,Z)
| apart_point_and_line(X,Y)
| ~ distinct_lines(Y,Z) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c16,plain,
( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
fof(f15,conjecture,
! [X,Y,Z] :
( ( ~ convergent_lines(Y,Z)
& ~ apart_point_and_line(X,Z)
& ~ apart_point_and_line(X,Y) )
=> ~ distinct_lines(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f15_neg,negated_conjecture,
~ ! [X,Y,Z] :
( ( ~ convergent_lines(Y,Z)
& ~ apart_point_and_line(X,Z)
& ~ apart_point_and_line(X,Y) )
=> ~ distinct_lines(Y,Z) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f15_nnf,plain,
? [X,Y,Z] :
( distinct_lines(Y,Z)
& ~ convergent_lines(Y,Z)
& ~ apart_point_and_line(X,Z)
& ~ apart_point_and_line(X,Y) ),
inference(nnf_transformation,[status(thm)],[f15_neg]) ).
fof(f15_sk,plain,
( distinct_lines(sk1,sk2)
& ~ convergent_lines(sk1,sk2)
& ~ apart_point_and_line(sk0,sk2)
& ~ apart_point_and_line(sk0,sk1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f15_nnf]) ).
cnf(c20,plain,
distinct_lines(sk1,sk2),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p91,plain,
( convergent_lines(sk1,sk2)
| apart_point_and_line(X0,sk2)
| apart_point_and_line(X0,sk1) ),
inference(resolution,[status(thm)],[c16,c20]) ).
cnf(c18,plain,
~ apart_point_and_line(sk0,sk2),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p216,plain,
( convergent_lines(sk1,sk2)
| apart_point_and_line(sk0,sk1) ),
inference(resolution,[status(thm)],[p91,c18]) ).
cnf(c17,plain,
~ apart_point_and_line(sk0,sk1),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p219,plain,
convergent_lines(sk1,sk2),
inference(resolution,[status(thm)],[p216,c17]) ).
cnf(c19,plain,
~ convergent_lines(sk1,sk2),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(p220,plain,
$false,
inference(resolution,[status(thm)],[p219,c19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO208+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/5.37 % Computer : n006.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Wed Sep 23 11:29:19 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/5.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.80 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------