TSTP Solution File: GEO192+2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO192+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 12:08:11 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 54 ( 8 unt; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 128 ( 52 ~; 53 |; 10 &)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 62 (; 56 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : ~ distinct_points(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : ~ distinct_lines(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] :
( distinct_lines(X,Y)
=> ( distinct_lines(X,Z)
| distinct_lines(Y,Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( ( apart_point_and_line(Z,X)
| apart_point_and_line(Z,Y) )
=> distinct_points(Z,intersection_point(X,Y)) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f13,conjecture,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( apart_point_and_line(intersection_point(X,Y),Z)
=> ( distinct_lines(X,Z)
& distinct_lines(Y,Z) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
~ ! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( apart_point_and_line(intersection_point(X,Y),Z)
=> ( distinct_lines(X,Z)
& distinct_lines(Y,Z) ) ) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f15,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f21,plain,
! [X,Y,Z] :
( ~ distinct_lines(X,Y)
| distinct_lines(X,Z)
| distinct_lines(Y,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f22,plain,
! [X,Y] :
( ~ distinct_lines(X,Y)
| ! [Z] :
( distinct_lines(X,Z)
| distinct_lines(Y,Z) ) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X0,X1)
| distinct_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f31,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| ( ~ apart_point_and_line(Z,X)
& ~ apart_point_and_line(Z,Y) )
| distinct_points(Z,intersection_point(X,Y)) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f32,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| ! [Z] :
( ( ~ apart_point_and_line(Z,X)
& ~ apart_point_and_line(Z,Y) )
| distinct_points(Z,intersection_point(X,Y)) ) ),
inference(miniscoping,[status(esa)],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X0)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(X2,X1)
| distinct_points(X2,intersection_point(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f32]) ).
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,Z] :
( convergent_lines(X,Y)
& apart_point_and_line(intersection_point(X,Y),Z)
& ( ~ distinct_lines(X,Z)
| ~ distinct_lines(Y,Z) ) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f46,plain,
? [X,Y] :
( convergent_lines(X,Y)
& ? [Z] :
( apart_point_and_line(intersection_point(X,Y),Z)
& ( ~ distinct_lines(X,Z)
| ~ distinct_lines(Y,Z) ) ) ),
inference(miniscoping,[status(esa)],[f45]) ).
fof(f47,plain,
( convergent_lines(sk0_0,sk0_1)
& apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2)
& ( ~ distinct_lines(sk0_0,sk0_2)
| ~ distinct_lines(sk0_1,sk0_2) ) ),
inference(skolemization,[status(esa)],[f46]) ).
fof(f48,plain,
convergent_lines(sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f49,plain,
apart_point_and_line(intersection_point(sk0_0,sk0_1),sk0_2),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f50,plain,
( ~ distinct_lines(sk0_0,sk0_2)
| ~ distinct_lines(sk0_1,sk0_2) ),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f51,plain,
( spl0_0
<=> distinct_lines(sk0_0,sk0_2) ),
introduced(split_symbol_definition) ).
fof(f53,plain,
( ~ distinct_lines(sk0_0,sk0_2)
| spl0_0 ),
inference(component_clause,[status(thm)],[f51]) ).
fof(f54,plain,
( spl0_1
<=> distinct_lines(sk0_1,sk0_2) ),
introduced(split_symbol_definition) ).
fof(f56,plain,
( ~ distinct_lines(sk0_1,sk0_2)
| spl0_1 ),
inference(component_clause,[status(thm)],[f54]) ).
fof(f57,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f50,f51,f54]) ).
fof(f70,plain,
! [X0] :
( distinct_lines(sk0_2,X0)
| apart_point_and_line(intersection_point(sk0_0,sk0_1),X0) ),
inference(resolution,[status(thm)],[f42,f49]) ).
fof(f78,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(resolution,[status(thm)],[f15,f34]) ).
fof(f79,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(resolution,[status(thm)],[f15,f33]) ).
fof(f119,plain,
( spl0_6
<=> distinct_lines(sk0_2,sk0_0) ),
introduced(split_symbol_definition) ).
fof(f120,plain,
( distinct_lines(sk0_2,sk0_0)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f122,plain,
( spl0_7
<=> convergent_lines(sk0_0,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f124,plain,
( ~ convergent_lines(sk0_0,sk0_1)
| spl0_7 ),
inference(component_clause,[status(thm)],[f122]) ).
fof(f125,plain,
( distinct_lines(sk0_2,sk0_0)
| ~ convergent_lines(sk0_0,sk0_1) ),
inference(resolution,[status(thm)],[f70,f79]) ).
fof(f126,plain,
( spl0_6
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f125,f119,f122]) ).
fof(f127,plain,
( spl0_8
<=> distinct_lines(sk0_2,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f128,plain,
( distinct_lines(sk0_2,sk0_1)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,plain,
( distinct_lines(sk0_2,sk0_1)
| ~ convergent_lines(sk0_0,sk0_1) ),
inference(resolution,[status(thm)],[f70,f78]) ).
fof(f131,plain,
( spl0_8
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f130,f127,f122]) ).
fof(f134,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f124,f48]) ).
fof(f135,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f134]) ).
fof(f158,plain,
! [X0] :
( distinct_lines(sk0_2,X0)
| distinct_lines(sk0_0,X0)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f120,f23]) ).
fof(f160,plain,
! [X0] :
( distinct_lines(sk0_2,X0)
| distinct_lines(sk0_1,X0)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f128,f23]) ).
fof(f166,plain,
( distinct_lines(sk0_0,sk0_2)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f158,f16]) ).
fof(f167,plain,
( $false
| spl0_0
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f166,f53]) ).
fof(f168,plain,
( spl0_0
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f167]) ).
fof(f174,plain,
( distinct_lines(sk0_1,sk0_2)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f160,f16]) ).
fof(f175,plain,
( $false
| spl0_1
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f174,f56]) ).
fof(f176,plain,
( spl0_1
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f175]) ).
fof(f177,plain,
$false,
inference(sat_refutation,[status(thm)],[f57,f126,f131,f135,f168,f176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO192+2 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n012.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 May 30 11:54:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 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
% 0.21/0.58 % Elapsed time: 0.021578 seconds
% 0.21/0.58 % CPU time: 0.097249 seconds
% 0.21/0.58 % Memory used: 2.918 MB
%------------------------------------------------------------------------------