TSTP Solution File: GEO183+2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO183+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:08:06 EDT 2023
% Result : Theorem 0.15s 0.31s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 7 unt; 0 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 109 ( 44 ~; 40 |; 18 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 53 (; 45 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y,Z] :
( apart_point_and_line(X,Y)
=> ( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,conjecture,
! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& ~ distinct_lines(U,line_connecting(X,Y)) )
=> ( ~ apart_point_and_line(X,U)
& ~ apart_point_and_line(Y,U) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
~ ! [X,Y,U,V] :
( ( distinct_points(X,Y)
& convergent_lines(U,V)
& ~ distinct_lines(U,line_connecting(X,Y)) )
=> ( ~ apart_point_and_line(X,U)
& ~ apart_point_and_line(Y,U) ) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f15,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
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(f40,plain,
! [X,Y,Z] :
( ~ apart_point_and_line(X,Y)
| distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f41,plain,
! [X,Y] :
( ~ apart_point_and_line(X,Y)
| ! [Z] :
( distinct_lines(Y,Z)
| apart_point_and_line(X,Z) ) ),
inference(miniscoping,[status(esa)],[f40]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f45,plain,
? [X,Y,U,V] :
( distinct_points(X,Y)
& convergent_lines(U,V)
& ~ distinct_lines(U,line_connecting(X,Y))
& ( apart_point_and_line(X,U)
| apart_point_and_line(Y,U) ) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f46,plain,
? [X,Y,U] :
( distinct_points(X,Y)
& ? [V] : convergent_lines(U,V)
& ~ distinct_lines(U,line_connecting(X,Y))
& ( apart_point_and_line(X,U)
| apart_point_and_line(Y,U) ) ),
inference(miniscoping,[status(esa)],[f45]) ).
fof(f47,plain,
( distinct_points(sk0_0,sk0_1)
& convergent_lines(sk0_2,sk0_3)
& ~ distinct_lines(sk0_2,line_connecting(sk0_0,sk0_1))
& ( apart_point_and_line(sk0_0,sk0_2)
| apart_point_and_line(sk0_1,sk0_2) ) ),
inference(skolemization,[status(esa)],[f46]) ).
fof(f48,plain,
distinct_points(sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f50,plain,
~ distinct_lines(sk0_2,line_connecting(sk0_0,sk0_1)),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f51,plain,
( apart_point_and_line(sk0_0,sk0_2)
| apart_point_and_line(sk0_1,sk0_2) ),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f52,plain,
( spl0_0
<=> apart_point_and_line(sk0_0,sk0_2) ),
introduced(split_symbol_definition) ).
fof(f53,plain,
( apart_point_and_line(sk0_0,sk0_2)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f52]) ).
fof(f55,plain,
( spl0_1
<=> apart_point_and_line(sk0_1,sk0_2) ),
introduced(split_symbol_definition) ).
fof(f56,plain,
( apart_point_and_line(sk0_1,sk0_2)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f55]) ).
fof(f58,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f51,f52,f55]) ).
fof(f131,plain,
! [X0] :
( distinct_lines(sk0_2,X0)
| apart_point_and_line(sk0_0,X0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f53,f42]) ).
fof(f133,plain,
! [X0,X1] :
( distinct_lines(sk0_2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1)
| distinct_points(sk0_0,X0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f131,f29]) ).
fof(f140,plain,
! [X0] :
( distinct_lines(sk0_2,line_connecting(sk0_0,X0))
| ~ distinct_points(sk0_0,X0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f133,f15]) ).
fof(f141,plain,
( ~ distinct_points(sk0_0,sk0_1)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f140,f50]) ).
fof(f142,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f141,f48]) ).
fof(f143,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f142]) ).
fof(f144,plain,
! [X0] :
( distinct_lines(sk0_2,X0)
| apart_point_and_line(sk0_1,X0)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f56,f42]) ).
fof(f161,plain,
! [X0,X1] :
( distinct_lines(sk0_2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1)
| distinct_points(sk0_1,X1)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f144,f30]) ).
fof(f168,plain,
! [X0] :
( distinct_lines(sk0_2,line_connecting(X0,sk0_1))
| ~ distinct_points(X0,sk0_1)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f161,f15]) ).
fof(f169,plain,
( ~ distinct_points(sk0_0,sk0_1)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f168,f50]) ).
fof(f170,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f169,f48]) ).
fof(f171,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f170]) ).
fof(f172,plain,
$false,
inference(sat_refutation,[status(thm)],[f58,f143,f171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO183+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n025.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 12:13:42 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 0.15/0.31 % Refutation found
% 0.15/0.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.55 % Elapsed time: 0.032214 seconds
% 0.15/0.55 % CPU time: 0.017720 seconds
% 0.15/0.55 % Memory used: 607.364 KB
%------------------------------------------------------------------------------