TSTP Solution File: GEO209+2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO209+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 12:08:19 EDT 2023
% Result : Theorem 0.06s 0.27s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 8 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 100 ( 42 ~; 29 |; 23 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 42 (; 34 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X,Y,Z] :
( convergent_lines(X,Y)
=> ( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y,Z] :
( distinct_lines(Y,Z)
=> ( apart_point_and_line(X,Y)
| apart_point_and_line(X,Z)
| convergent_lines(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,conjecture,
! [A,L,M,N] :
( ( apart_point_and_line(A,L)
& ~ apart_point_and_line(A,M)
& ~ apart_point_and_line(A,N)
& ~ convergent_lines(M,L)
& ~ convergent_lines(N,L) )
=> ~ distinct_lines(M,N) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
~ ! [A,L,M,N] :
( ( apart_point_and_line(A,L)
& ~ apart_point_and_line(A,M)
& ~ apart_point_and_line(A,N)
& ~ convergent_lines(M,L)
& ~ convergent_lines(N,L) )
=> ~ distinct_lines(M,N) ),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f27,plain,
! [X,Y,Z] :
( ~ convergent_lines(X,Y)
| convergent_lines(X,Z)
| convergent_lines(Y,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f28,plain,
! [X,Y] :
( ~ convergent_lines(X,Y)
| ! [Z] :
( convergent_lines(X,Z)
| convergent_lines(Y,Z) ) ),
inference(miniscoping,[status(esa)],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f50,plain,
! [X,Y,Z] :
( ~ distinct_lines(Y,Z)
| apart_point_and_line(X,Y)
| apart_point_and_line(X,Z)
| convergent_lines(Y,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f51,plain,
! [Y,Z] :
( ~ distinct_lines(Y,Z)
| ! [X] :
( apart_point_and_line(X,Y)
| apart_point_and_line(X,Z) )
| convergent_lines(Y,Z) ),
inference(miniscoping,[status(esa)],[f50]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ~ distinct_lines(X0,X1)
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f53,plain,
? [A,L,M,N] :
( apart_point_and_line(A,L)
& ~ apart_point_and_line(A,M)
& ~ apart_point_and_line(A,N)
& ~ convergent_lines(M,L)
& ~ convergent_lines(N,L)
& distinct_lines(M,N) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f54,plain,
? [M,N] :
( ? [L] :
( ? [A] :
( apart_point_and_line(A,L)
& ~ apart_point_and_line(A,M)
& ~ apart_point_and_line(A,N) )
& ~ convergent_lines(M,L)
& ~ convergent_lines(N,L) )
& distinct_lines(M,N) ),
inference(miniscoping,[status(esa)],[f53]) ).
fof(f55,plain,
( apart_point_and_line(sk0_3,sk0_2)
& ~ apart_point_and_line(sk0_3,sk0_0)
& ~ apart_point_and_line(sk0_3,sk0_1)
& ~ convergent_lines(sk0_0,sk0_2)
& ~ convergent_lines(sk0_1,sk0_2)
& distinct_lines(sk0_0,sk0_1) ),
inference(skolemization,[status(esa)],[f54]) ).
fof(f57,plain,
~ apart_point_and_line(sk0_3,sk0_0),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f58,plain,
~ apart_point_and_line(sk0_3,sk0_1),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f59,plain,
~ convergent_lines(sk0_0,sk0_2),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f60,plain,
~ convergent_lines(sk0_1,sk0_2),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f61,plain,
distinct_lines(sk0_0,sk0_1),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f67,plain,
! [X0] :
( ~ distinct_lines(X0,sk0_1)
| apart_point_and_line(sk0_3,X0)
| convergent_lines(X0,sk0_1) ),
inference(resolution,[status(thm)],[f52,f58]) ).
fof(f78,plain,
( spl0_2
<=> distinct_lines(sk0_0,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f80,plain,
( ~ distinct_lines(sk0_0,sk0_1)
| spl0_2 ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,plain,
( spl0_3
<=> convergent_lines(sk0_0,sk0_1) ),
introduced(split_symbol_definition) ).
fof(f82,plain,
( convergent_lines(sk0_0,sk0_1)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,plain,
( ~ distinct_lines(sk0_0,sk0_1)
| convergent_lines(sk0_0,sk0_1) ),
inference(resolution,[status(thm)],[f67,f57]) ).
fof(f85,plain,
( ~ spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f84,f78,f81]) ).
fof(f87,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f80,f61]) ).
fof(f88,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f87]) ).
fof(f107,plain,
! [X0] :
( convergent_lines(sk0_0,X0)
| convergent_lines(sk0_1,X0)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f82,f29]) ).
fof(f122,plain,
( convergent_lines(sk0_0,sk0_2)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f107,f60]) ).
fof(f123,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f122,f59]) ).
fof(f124,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f123]) ).
fof(f125,plain,
$false,
inference(sat_refutation,[status(thm)],[f85,f88,f124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : GEO209+2 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n007.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue May 30 11:46:17 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % Drodi V3.5.1
% 0.06/0.27 % Refutation found
% 0.06/0.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.06/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.48 % Elapsed time: 0.008748 seconds
% 0.11/0.48 % CPU time: 0.033906 seconds
% 0.11/0.48 % Memory used: 2.171 MB
%------------------------------------------------------------------------------