TSTP Solution File: GEO185+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO185+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 : Wed May 31 12:08:07 EDT 2023
% Result : Theorem 0.05s 0.26s
% Output : CNFRefutation 0.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 6 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 109 ( 41 ~; 40 |; 19 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 65 (; 57 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] :
( convergent_lines(X,Y)
=> ~ apart_point_and_line(intersection_point(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_points(X,Z)
| apart_point_and_line(Z,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X,Y] :
( equal_points(X,Y)
<=> ~ distinct_points(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X,Y] :
( incident_point_and_line(X,Y)
<=> ~ apart_point_and_line(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,conjecture,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& equal_points(X,intersection_point(U,V)) )
=> ( incident_point_and_line(X,U)
& incident_point_and_line(X,V) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& equal_points(X,intersection_point(U,V)) )
=> ( incident_point_and_line(X,U)
& incident_point_and_line(X,V) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f54,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(intersection_point(X,Y),X) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f55,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f56,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| ~ apart_point_and_line(intersection_point(X,Y),Y) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f57,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f60,plain,
! [X,Y,Z] :
( ~ apart_point_and_line(X,Y)
| distinct_points(X,Z)
| apart_point_and_line(Z,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f61,plain,
! [X,Y] :
( ~ apart_point_and_line(X,Y)
| ! [Z] :
( distinct_points(X,Z)
| apart_point_and_line(Z,Y) ) ),
inference(miniscoping,[status(esa)],[f60]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X0,X1)
| distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f107,plain,
! [X,Y] :
( ( ~ equal_points(X,Y)
| ~ distinct_points(X,Y) )
& ( equal_points(X,Y)
| distinct_points(X,Y) ) ),
inference(NNF_transformation,[status(esa)],[f31]) ).
fof(f108,plain,
( ! [X,Y] :
( ~ equal_points(X,Y)
| ~ distinct_points(X,Y) )
& ! [X,Y] :
( equal_points(X,Y)
| distinct_points(X,Y) ) ),
inference(miniscoping,[status(esa)],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( ~ equal_points(X0,X1)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f108]) ).
fof(f119,plain,
! [X,Y] :
( ( ~ incident_point_and_line(X,Y)
| ~ apart_point_and_line(X,Y) )
& ( incident_point_and_line(X,Y)
| apart_point_and_line(X,Y) ) ),
inference(NNF_transformation,[status(esa)],[f34]) ).
fof(f120,plain,
( ! [X,Y] :
( ~ incident_point_and_line(X,Y)
| ~ apart_point_and_line(X,Y) )
& ! [X,Y] :
( incident_point_and_line(X,Y)
| apart_point_and_line(X,Y) ) ),
inference(miniscoping,[status(esa)],[f119]) ).
fof(f122,plain,
! [X0,X1] :
( incident_point_and_line(X0,X1)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f120]) ).
fof(f127,plain,
? [X,Y,U,V] :
( distinct_points(X,Y)
& convergent_lines(U,V)
& equal_points(X,intersection_point(U,V))
& ( ~ incident_point_and_line(X,U)
| ~ incident_point_and_line(X,V) ) ),
inference(pre_NNF_transformation,[status(esa)],[f37]) ).
fof(f128,plain,
? [X,U,V] :
( ? [Y] : distinct_points(X,Y)
& convergent_lines(U,V)
& equal_points(X,intersection_point(U,V))
& ( ~ incident_point_and_line(X,U)
| ~ incident_point_and_line(X,V) ) ),
inference(miniscoping,[status(esa)],[f127]) ).
fof(f129,plain,
( distinct_points(sk0_0,sk0_3)
& convergent_lines(sk0_1,sk0_2)
& equal_points(sk0_0,intersection_point(sk0_1,sk0_2))
& ( ~ incident_point_and_line(sk0_0,sk0_1)
| ~ incident_point_and_line(sk0_0,sk0_2) ) ),
inference(skolemization,[status(esa)],[f128]) ).
fof(f131,plain,
convergent_lines(sk0_1,sk0_2),
inference(cnf_transformation,[status(esa)],[f129]) ).
fof(f132,plain,
equal_points(sk0_0,intersection_point(sk0_1,sk0_2)),
inference(cnf_transformation,[status(esa)],[f129]) ).
fof(f133,plain,
( ~ incident_point_and_line(sk0_0,sk0_1)
| ~ incident_point_and_line(sk0_0,sk0_2) ),
inference(cnf_transformation,[status(esa)],[f129]) ).
fof(f140,plain,
( spl0_0
<=> incident_point_and_line(sk0_0,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f142,plain,
( ~ incident_point_and_line(sk0_0,sk0_1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,plain,
( spl0_1
<=> incident_point_and_line(sk0_0,sk0_2) ),
introduced(split_symbol_definition) ).
fof(f145,plain,
( ~ incident_point_and_line(sk0_0,sk0_2)
| spl0_1 ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f133,f140,f143]) ).
fof(f150,plain,
~ distinct_points(sk0_0,intersection_point(sk0_1,sk0_2)),
inference(resolution,[status(thm)],[f109,f132]) ).
fof(f187,plain,
! [X0,X1,X2] :
( distinct_points(X0,X1)
| apart_point_and_line(X1,X2)
| incident_point_and_line(X0,X2) ),
inference(resolution,[status(thm)],[f62,f122]) ).
fof(f225,plain,
! [X0] :
( distinct_points(sk0_0,X0)
| apart_point_and_line(X0,sk0_1)
| spl0_0 ),
inference(resolution,[status(thm)],[f187,f142]) ).
fof(f227,plain,
( apart_point_and_line(intersection_point(sk0_1,sk0_2),sk0_1)
| spl0_0 ),
inference(resolution,[status(thm)],[f225,f150]) ).
fof(f230,plain,
( ~ convergent_lines(sk0_1,sk0_2)
| spl0_0 ),
inference(resolution,[status(thm)],[f227,f55]) ).
fof(f231,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f230,f131]) ).
fof(f232,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f231]) ).
fof(f233,plain,
! [X0] :
( distinct_points(sk0_0,X0)
| apart_point_and_line(X0,sk0_2)
| spl0_1 ),
inference(resolution,[status(thm)],[f145,f187]) ).
fof(f236,plain,
( apart_point_and_line(intersection_point(sk0_1,sk0_2),sk0_2)
| spl0_1 ),
inference(resolution,[status(thm)],[f233,f150]) ).
fof(f239,plain,
( ~ convergent_lines(sk0_1,sk0_2)
| spl0_1 ),
inference(resolution,[status(thm)],[f236,f57]) ).
fof(f240,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f239,f131]) ).
fof(f241,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f240]) ).
fof(f242,plain,
$false,
inference(sat_refutation,[status(thm)],[f146,f232,f241]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : GEO185+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.05/0.25 % Computer : n021.cluster.edu
% 0.05/0.25 % Model : x86_64 x86_64
% 0.05/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.25 % Memory : 8042.1875MB
% 0.05/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.05/0.25 % CPULimit : 300
% 0.05/0.25 % WCLimit : 300
% 0.05/0.25 % DateTime : Tue May 30 12:02:37 EDT 2023
% 0.05/0.25 % CPUTime :
% 0.05/0.25 % Drodi V3.5.1
% 0.05/0.26 % Refutation found
% 0.05/0.26 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.05/0.26 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.47 % Elapsed time: 0.008128 seconds
% 0.10/0.47 % CPU time: 0.027842 seconds
% 0.10/0.47 % Memory used: 2.319 MB
%------------------------------------------------------------------------------