TSTP Solution File: GEO245+3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO245+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:17:44 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 23 ( 10 ~; 1 |; 8 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 16 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
! [A,L] :
~ ( left_apart_point(A,L)
| left_apart_point(A,reverse_line(L)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,conjecture,
! [A,B,C] :
( distinct_points(A,B)
=> ( left_apart_point(C,line_connecting(A,B))
=> right_apart_point(B,line_connecting(A,C)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
~ ! [A,B,C] :
( distinct_points(A,B)
=> ( left_apart_point(C,line_connecting(A,B))
=> right_apart_point(B,line_connecting(A,C)) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
fof(f113,plain,
! [A,L] :
( ~ left_apart_point(A,L)
& ~ left_apart_point(A,reverse_line(L)) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f114,plain,
( ! [A,L] : ~ left_apart_point(A,L)
& ! [A,L] : ~ left_apart_point(A,reverse_line(L)) ),
inference(miniscoping,[status(esa)],[f113]) ).
fof(f115,plain,
! [X0,X1] : ~ left_apart_point(X0,X1),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f152,plain,
? [A,B,C] :
( distinct_points(A,B)
& left_apart_point(C,line_connecting(A,B))
& ~ right_apart_point(B,line_connecting(A,C)) ),
inference(pre_NNF_transformation,[status(esa)],[f38]) ).
fof(f153,plain,
? [A,B] :
( distinct_points(A,B)
& ? [C] :
( left_apart_point(C,line_connecting(A,B))
& ~ right_apart_point(B,line_connecting(A,C)) ) ),
inference(miniscoping,[status(esa)],[f152]) ).
fof(f154,plain,
( distinct_points(sk0_0,sk0_1)
& left_apart_point(sk0_2,line_connecting(sk0_0,sk0_1))
& ~ right_apart_point(sk0_1,line_connecting(sk0_0,sk0_2)) ),
inference(skolemization,[status(esa)],[f153]) ).
fof(f156,plain,
left_apart_point(sk0_2,line_connecting(sk0_0,sk0_1)),
inference(cnf_transformation,[status(esa)],[f154]) ).
fof(f161,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f156,f115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO245+3 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 01:51:40 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37 % Elapsed time: 0.019193 seconds
% 0.13/0.37 % CPU time: 0.046244 seconds
% 0.13/0.37 % Total memory used: 2.802 MB
% 0.13/0.37 % Net memory used: 2.791 MB
%------------------------------------------------------------------------------