TSTP Solution File: GEO200+2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO200+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 12:08:14 EDT 2023
% Result : Theorem 0.14s 0.30s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 6 unt; 0 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 145 ( 58 ~; 75 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 89 (; 87 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( distinct_points(X,Z)
| distinct_points(Y,Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] :
( distinct_points(X,Y)
=> ( apart_point_and_line(Z,line_connecting(X,Y))
=> ( distinct_points(Z,X)
& distinct_points(Z,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& distinct_lines(U,V) )
=> ( apart_point_and_line(X,U)
| apart_point_and_line(X,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(Y,V) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,conjecture,
! [X,Y] :
( distinct_points(X,Y)
=> ~ distinct_lines(line_connecting(X,Y),line_connecting(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
~ ! [X,Y] :
( distinct_points(X,Y)
=> ~ distinct_lines(line_connecting(X,Y),line_connecting(Y,X)) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f15,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f18,plain,
! [X,Y,Z] :
( ~ distinct_points(X,Y)
| distinct_points(X,Z)
| distinct_points(Y,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f19,plain,
! [X,Y] :
( ~ distinct_points(X,Y)
| ! [Z] :
( distinct_points(X,Z)
| distinct_points(Y,Z) ) ),
inference(miniscoping,[status(esa)],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ~ distinct_points(X0,X1)
| distinct_points(X0,X2)
| distinct_points(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f27,plain,
! [X,Y,Z] :
( ~ distinct_points(X,Y)
| ~ apart_point_and_line(Z,line_connecting(X,Y))
| ( distinct_points(Z,X)
& distinct_points(Z,Y) ) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f28,plain,
! [X,Y] :
( ~ distinct_points(X,Y)
| ! [Z] :
( ~ apart_point_and_line(Z,line_connecting(X,Y))
| ( distinct_points(Z,X)
& distinct_points(Z,Y) ) ) ),
inference(miniscoping,[status(esa)],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f35,plain,
! [X,Y,U,V] :
( ~ distinct_points(X,Y)
| ~ distinct_lines(U,V)
| apart_point_and_line(X,U)
| apart_point_and_line(X,V)
| apart_point_and_line(Y,U)
| apart_point_and_line(Y,V) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f36,plain,
! [X0,X1,X2,X3] :
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f45,plain,
? [X,Y] :
( distinct_points(X,Y)
& distinct_lines(line_connecting(X,Y),line_connecting(Y,X)) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f46,plain,
( distinct_points(sk0_0,sk0_1)
& distinct_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_1,sk0_0)) ),
inference(skolemization,[status(esa)],[f45]) ).
fof(f47,plain,
distinct_points(sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f48,plain,
distinct_lines(line_connecting(sk0_0,sk0_1),line_connecting(sk0_1,sk0_0)),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f50,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| distinct_points(X1,X0) ),
inference(resolution,[status(thm)],[f20,f15]) ).
fof(f62,plain,
! [X0,X1,X2,X3,X4] :
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,line_connecting(X3,X4))
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,line_connecting(X3,X4))
| ~ distinct_points(X3,X4)
| distinct_points(X0,X4) ),
inference(resolution,[status(thm)],[f36,f30]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,line_connecting(X3,X0))
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,line_connecting(X3,X0))
| ~ distinct_points(X3,X0) ),
inference(resolution,[status(thm)],[f62,f15]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,line_connecting(X3,X0))
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2)
| ~ distinct_points(X3,X0)
| ~ distinct_points(X3,X0)
| distinct_points(X1,X3) ),
inference(resolution,[status(thm)],[f75,f29]) ).
fof(f79,plain,
! [X0,X1,X2,X3] :
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,line_connecting(X3,X0))
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2)
| ~ distinct_points(X3,X0)
| distinct_points(X1,X3) ),
inference(duplicate_literals_removal,[status(esa)],[f78]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,line_connecting(X1,X0))
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2)
| ~ distinct_points(X1,X0) ),
inference(resolution,[status(thm)],[f79,f15]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,line_connecting(X1,X0))
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f82,f50]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( ~ distinct_points(X0,X1)
| ~ distinct_lines(line_connecting(X2,X3),line_connecting(X1,X0))
| apart_point_and_line(X0,line_connecting(X2,X3))
| ~ distinct_points(X2,X3)
| distinct_points(X1,X3) ),
inference(resolution,[status(thm)],[f83,f30]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ~ distinct_points(X0,X1)
| ~ distinct_lines(line_connecting(X2,X1),line_connecting(X1,X0))
| apart_point_and_line(X0,line_connecting(X2,X1))
| ~ distinct_points(X2,X1) ),
inference(resolution,[status(thm)],[f84,f15]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ~ distinct_points(X0,X1)
| ~ distinct_lines(line_connecting(X2,X1),line_connecting(X1,X0))
| ~ distinct_points(X2,X1)
| ~ distinct_points(X2,X1)
| distinct_points(X0,X2) ),
inference(resolution,[status(thm)],[f86,f29]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ~ distinct_points(X0,X1)
| ~ distinct_lines(line_connecting(X2,X1),line_connecting(X1,X0))
| ~ distinct_points(X2,X1)
| distinct_points(X0,X2) ),
inference(duplicate_literals_removal,[status(esa)],[f87]) ).
fof(f89,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0))
| ~ distinct_points(X0,X1) ),
inference(resolution,[status(thm)],[f88,f15]) ).
fof(f90,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ distinct_lines(line_connecting(X0,X1),line_connecting(X1,X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f89]) ).
fof(f91,plain,
~ distinct_points(sk0_0,sk0_1),
inference(resolution,[status(thm)],[f90,f48]) ).
fof(f92,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f91,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO200+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n008.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 12:04:38 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 0.14/0.30 % Refutation found
% 0.14/0.30 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.30 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.53 % Elapsed time: 0.017559 seconds
% 0.14/0.53 % CPU time: 0.013971 seconds
% 0.14/0.53 % Memory used: 554.459 KB
%------------------------------------------------------------------------------